Pith Number

pith:FN46SCAH

pith:2005:FN46SCAHY6YUEZ3TJID56PAYBK

not attested not anchored not stored refs pending

Shy couplings

Itai Benjamini, Krzysztof Burdzy, Zhen-Qing Chen

arxiv:math/0509458 v1 · 2005-09-20 · 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{FN46SCAHY6YUEZ3TJID56PAYBK}

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	2026-07-04T14:47:37.875983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b79e90807c7b14267734a07df3c180aadd7f77d5b6377e62b76d90c808a3f2a

Aliases

arxiv: math/0509458 · arxiv_version: math/0509458v1 · doi: 10.48550/arxiv.math/0509458 · pith_short_12: FN46SCAHY6YU · pith_short_16: FN46SCAHY6YUEZ3T · pith_short_8: FN46SCAH

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/FN46SCAHY6YUEZ3TJID56PAYBK \
  | 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: 2b79e90807c7b14267734a07df3c180aadd7f77d5b6377e62b76d90c808a3f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dcd371a670b9763e98cf80c6ed12bc9cbfbd5a0a20b498206f95736bfd84b1d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-09-20T22:25:22Z",
    "title_canon_sha256": "e672c79cb1fbfc1fbd4d0806428c25cf8c8f4eb91f81c9351936e354309d13c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509458",
    "kind": "arxiv",
    "version": 1
  }
}