Pith Number

pith:BKTGCDGA

pith:2011:BKTGCDGADOCDRTQYB7YPJNISCF

not attested not anchored not stored refs pending

Manifestly gauge independent formulations of the Z2 invariants

Emil Prodan

arxiv:1103.4603 v5 · 2011-03-23 · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKTGCDGADOCDRTQYB7YPJNISCF}

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	2026-05-18T04:20:21.933117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa6610cc01b8438ce180ff0f4b5121178a842957f3542b9006d1f7f5b0bfafc

Aliases

arxiv: 1103.4603 · arxiv_version: 1103.4603v5 · doi: 10.48550/arxiv.1103.4603 · pith_short_12: BKTGCDGADOCD · pith_short_16: BKTGCDGADOCDRTQY · pith_short_8: BKTGCDGA

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/BKTGCDGADOCDRTQYB7YPJNISCF \
  | 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: 0aa6610cc01b8438ce180ff0f4b5121178a842957f3542b9006d1f7f5b0bfafc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "face764c50eb6c540d23be87c6d19847bb7209bfc9144dd9dc7d18922c930a9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2011-03-23T19:40:57Z",
    "title_canon_sha256": "52698cb0bcfbf63e63ee08cb2c1a58a0829ac7e85a532ff0bc9f46e43ad30f1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4603",
    "kind": "arxiv",
    "version": 5
  }
}