Pith Number

pith:GF3O4QIO

pith:2016:GF3O4QIOCKPE6CRGMVTV3RTYYP

not attested not anchored not stored refs pending

Self avoiding walk on the seven regular triangulation

Itai Benjamini

arxiv:1612.04169 v5 · 2016-12-13 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GF3O4QIOCKPE6CRGMVTV3RTYYP}

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	2026-05-18T00:17:24.440293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3176ee410e129e4f0a2665675dc678c3d1dc716e20494f6a056c28b2f4cd52ed

Aliases

arxiv: 1612.04169 · arxiv_version: 1612.04169v5 · doi: 10.48550/arxiv.1612.04169 · pith_short_12: GF3O4QIOCKPE · pith_short_16: GF3O4QIOCKPE6CRG · pith_short_8: GF3O4QIO

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/GF3O4QIOCKPE6CRGMVTV3RTYYP \
  | 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: 3176ee410e129e4f0a2665675dc678c3d1dc716e20494f6a056c28b2f4cd52ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2572c39ed2a7c324db67ef8e7f4468fa9ede3baf7f2f59662d244b79ee2efd89",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-13T13:47:18Z",
    "title_canon_sha256": "b926ae733fb453685663458161fd29b3ac254a3fc184266177d42f4df9740fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04169",
    "kind": "arxiv",
    "version": 5
  }
}