Pith Number

pith:VMAHEZO5

pith:2015:VMAHEZO5GHCZLKRZ7YY47MZN5V

not attested not anchored not stored refs pending

Topological phases: Classification of topological insulators and superconductors of non-interacting Fermions, and beyond

Andreas W. W. Ludwig

arxiv:1512.08882 v1 · 2015-12-30 · cond-mat.mes-hall · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMAHEZO5GHCZLKRZ7YY47MZN5V}

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	2026-05-18T01:22:32.158538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab007265dd31c595aa39fe31cfb32ded57559c8d9fcc3116af80e1eeea83e38f

Aliases

arxiv: 1512.08882 · arxiv_version: 1512.08882v1 · doi: 10.48550/arxiv.1512.08882 · pith_short_12: VMAHEZO5GHCZ · pith_short_16: VMAHEZO5GHCZLKRZ · pith_short_8: VMAHEZO5

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/VMAHEZO5GHCZLKRZ7YY47MZN5V \
  | 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: ab007265dd31c595aa39fe31cfb32ded57559c8d9fcc3116af80e1eeea83e38f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "507b7c9e55ffb75d0356e79f9904ea3e21ae33175f72c0f5e6ab2ddd50b6f0b3",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2015-12-30T08:51:49Z",
    "title_canon_sha256": "2d40f321336d14beae880cd353f3803bfad8acb7f940191ddc44ae3d9daed289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08882",
    "kind": "arxiv",
    "version": 1
  }
}