Pith Number

pith:Q5DHQNJW

pith:2013:Q5DHQNJWSNNW3PXUOS3UA5725W

not attested not anchored not stored refs pending

Recurrence Theorems: a unified account

David Wallace

arxiv:1306.3925 v1 · 2013-06-17 · quant-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5DHQNJWSNNW3PXUOS3UA5725W}

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	2026-05-18T03:20:46.038433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8746783536935b6dbef474b74077faed851bc2ef5c2dad3122994a6a03d0112d

Aliases

arxiv: 1306.3925 · arxiv_version: 1306.3925v1 · doi: 10.48550/arxiv.1306.3925 · pith_short_12: Q5DHQNJWSNNW · pith_short_16: Q5DHQNJWSNNW3PXU · pith_short_8: Q5DHQNJW

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/Q5DHQNJWSNNW3PXUOS3UA5725W \
  | 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: 8746783536935b6dbef474b74077faed851bc2ef5c2dad3122994a6a03d0112d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f58a18e4e39e64ce80f5adce45f4ee784e639ad510f26e29953dde065800114",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-06-17T16:48:55Z",
    "title_canon_sha256": "3cb65d0f9c979baebc48f1635f5e6e4463f5a517b57f05c4635a20baa793fd52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3925",
    "kind": "arxiv",
    "version": 1
  }
}