Pith Number

pith:UGRTAJHG

pith:2015:UGRTAJHGSHBKTTY7XRQMLP5OHQ

not attested not anchored not stored refs pending

Entropic Topological Invariants in Three Dimensions

Alex Bullivant, Jiannis K. Pachos

arxiv:1504.02868 v1 · 2015-04-11 · cond-mat.str-el · hep-th · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGRTAJHGSHBKTTY7XRQMLP5OHQ}

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	2026-05-18T01:18:09.952093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1a33024e691c2a9cf1fbc60c5bfae3c3dce4856b41e196b2f12bdb6590a1904

Aliases

arxiv: 1504.02868 · arxiv_version: 1504.02868v1 · doi: 10.48550/arxiv.1504.02868 · pith_short_12: UGRTAJHGSHBK · pith_short_16: UGRTAJHGSHBKTTY7 · pith_short_8: UGRTAJHG

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/UGRTAJHGSHBKTTY7XRQMLP5OHQ \
  | 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: a1a33024e691c2a9cf1fbc60c5bfae3c3dce4856b41e196b2f12bdb6590a1904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "597938a49349db91a94cd6f95481fe4c08490aebc1ce1137e89802604feb5ce8",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2015-04-11T13:05:57Z",
    "title_canon_sha256": "69689d3c4551ecbcb4447854cb9f28bd18ad0224dd555af77ad53aba1acc2a90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02868",
    "kind": "arxiv",
    "version": 1
  }
}