Pith Number

pith:YYTZQP54

pith:2002:YYTZQP54U7OV4AI7I7UX2E25H5

not attested not anchored not stored refs pending

Random walks that avoid their past convex hull

Balint Virag, Itai Benjamini, Omer Angel

arxiv:math/0209146 v1 · 2002-09-12 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYTZQP54U7OV4AI7I7UX2E25H5}

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	2026-05-18T04:08:43.174973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c627983fbca7dd5e011f47e97d135d3f4f180d2d6f85ec9a3a98cfb98954f1c7

Aliases

arxiv: math/0209146 · arxiv_version: math/0209146v1 · doi: 10.48550/arxiv.math/0209146 · pith_short_12: YYTZQP54U7OV · pith_short_16: YYTZQP54U7OV4AI7 · pith_short_8: YYTZQP54

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/YYTZQP54U7OV4AI7I7UX2E25H5 \
  | 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: c627983fbca7dd5e011f47e97d135d3f4f180d2d6f85ec9a3a98cfb98954f1c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2698e74151f27cdf62aba1bd89e0d8823f4a33a30a2a3a56d022e91d9216afb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2002-09-12T15:07:06Z",
    "title_canon_sha256": "45e2aa00741c26c3b7b0553fadc03b3b4f6b3a87be854cf5e1a5996722d7286a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209146",
    "kind": "arxiv",
    "version": 1
  }
}