Pith Number

pith:WC473AZ3

pith:2016:WC473AZ34Y4OTHS4MBTB4N45DD

not attested not anchored not stored refs pending

Influence of topological constraints and topological excitations: Decomposition formulas for calculating homotopy groups of symmetry-broken phases

Masahito Ueda, Sho Higashikawa

arxiv:1610.08961 v3 · 2016-10-24 · cond-mat.other · cond-mat.mtrl-sci · cond-mat.quant-gas · cond-mat.stat-mech · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WC473AZ34Y4OTHS4MBTB4N45DD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:45:22.245594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0b9fd833be638e99e5c60661e379d18c3f69784aa6f9e21c22cf61184d0cafd

Aliases

arxiv: 1610.08961 · arxiv_version: 1610.08961v3 · doi: 10.48550/arxiv.1610.08961 · pith_short_12: WC473AZ34Y4O · pith_short_16: WC473AZ34Y4OTHS4 · pith_short_8: WC473AZ3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WC473AZ34Y4OTHS4MBTB4N45DD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b0b9fd833be638e99e5c60661e379d18c3f69784aa6f9e21c22cf61184d0cafd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0eadcee69751ccf875e6b7ca5ebf973b0b90b3997c94f3cd43c7b6afce8dd97",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "cond-mat.quant-gas",
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2016-10-24T20:00:02Z",
    "title_canon_sha256": "86edf5b330df9b7d4dec4e49e3d210b71d3fa7d197eee12a598f41c1746d212f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08961",
    "kind": "arxiv",
    "version": 3
  }
}