Pith Number

pith:RY7HANTQ

pith:2015:RY7HANTQTNFC72A6BDXGRLRQIM

not attested not anchored not stored refs pending

Generalized approach to the non-backtracking lace expansion

Remco van der Hofstad, Robert Fitzner

arxiv:1506.07969 v2 · 2015-06-26 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RY7HANTQTNFC72A6BDXGRLRQIM}

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	2026-05-18T00:55:28.769920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e3e7036709b4a2fe81e08ee68ae30432fcc88232d8dbb69be44df7ccd0af66d

Aliases

arxiv: 1506.07969 · arxiv_version: 1506.07969v2 · doi: 10.48550/arxiv.1506.07969 · pith_short_12: RY7HANTQTNFC · pith_short_16: RY7HANTQTNFC72A6 · pith_short_8: RY7HANTQ

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/RY7HANTQTNFC72A6BDXGRLRQIM \
  | 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: 8e3e7036709b4a2fe81e08ee68ae30432fcc88232d8dbb69be44df7ccd0af66d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c092a2719d8b06a2a7d2bd6d044383fc367dbb54172e9db5cf357002ada5927",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-26T07:19:27Z",
    "title_canon_sha256": "1fa030b882e852de765daff2fceb3150922bb0bb2ab92ea0a1142874d7db821f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07969",
    "kind": "arxiv",
    "version": 2
  }
}