Pith Number

pith:2XHT6FQ6

pith:2006:2XHT6FQ6JWT642U4CTIUX77ZOR

not attested not anchored not stored refs pending

First-passage competition with different speeds: positive density for both species is impossible

Olivier Garet (MAPMO), R\'egine Marchand (IECN)

arxiv:math/0608667 v1 · 2006-08-27 · 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{2XHT6FQ6JWT642U4CTIUX77ZOR}

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	2026-05-18T01:08:49.788283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5cf3f161e4da7ee6a9c14d14bfff974456c2c4a07b1c7cc8d2cde447198ae9a

Aliases

arxiv: math/0608667 · arxiv_version: math/0608667v1 · doi: 10.48550/arxiv.math/0608667 · pith_short_12: 2XHT6FQ6JWT6 · pith_short_16: 2XHT6FQ6JWT642U4 · pith_short_8: 2XHT6FQ6

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/2XHT6FQ6JWT642U4CTIUX77ZOR \
  | 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: d5cf3f161e4da7ee6a9c14d14bfff974456c2c4a07b1c7cc8d2cde447198ae9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7bd20aee4e1b85bd518cb6bcc89bb0f8a8587ef4a45fa18edb4a8e052b64ef8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-08-27T16:09:02Z",
    "title_canon_sha256": "1abf4f11a1c79576ecd2a4adca51b0d2b5a87b99f76e3c8f634a86a40d116018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608667",
    "kind": "arxiv",
    "version": 1
  }
}