Pith Number

pith:GCB4BZYR

pith:2016:GCB4BZYRXE4HLUBYYR47AVPLNI

not attested not anchored not stored refs pending

Field theory of symmetry-protected valence bond solid states in (2+1) dimensions

Akihiro Tanaka, Pierre Pujol, Shintaro Takayoshi

arxiv:1609.01316 v3 · 2016-09-05 · 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{GCB4BZYRXE4HLUBYYR47AVPLNI}

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	2026-05-18T00:53:02.330222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3083c0e711b93875d038c479f055eb6a349be968941d64f5c9f0eb212f0194a7

Aliases

arxiv: 1609.01316 · arxiv_version: 1609.01316v3 · doi: 10.48550/arxiv.1609.01316 · pith_short_12: GCB4BZYRXE4H · pith_short_16: GCB4BZYRXE4HLUBY · pith_short_8: GCB4BZYR

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/GCB4BZYRXE4HLUBYYR47AVPLNI \
  | 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: 3083c0e711b93875d038c479f055eb6a349be968941d64f5c9f0eb212f0194a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6f2c89ecc9db7b89e9b7e68715bdea47213fe566de95da6a3754dca22962cf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2016-09-05T20:24:50Z",
    "title_canon_sha256": "dd72e82a91f3d467baae3aeedb6d44d7c9d1a581213e1e198efea8e80b32719f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01316",
    "kind": "arxiv",
    "version": 3
  }
}