Pith Number

pith:HT7FX5LU

pith:2005:HT7FX5LUFAAH4ABYI6O3OKBAWS

not attested not anchored not stored refs pending

Optimal flow through the disordered lattice

David Aldous

arxiv:math/0511694 v2 · 2005-11-29 · 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{HT7FX5LUFAAH4ABYI6O3OKBAWS}

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	2026-05-18T04:08:53.693815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cfe5bf57428007e0038479db72820b48d39df26736b99adaf2eb8cafeeabe19

Aliases

arxiv: math/0511694 · arxiv_version: math/0511694v2 · doi: 10.48550/arxiv.math/0511694 · pith_short_12: HT7FX5LUFAAH · pith_short_16: HT7FX5LUFAAH4ABY · pith_short_8: HT7FX5LU

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/HT7FX5LUFAAH4ABYI6O3OKBAWS \
  | 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: 3cfe5bf57428007e0038479db72820b48d39df26736b99adaf2eb8cafeeabe19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b421b1a33dfa8e21fbecaad42785e739cc7e848162d7844bf712212483695cb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-11-29T00:16:44Z",
    "title_canon_sha256": "f9b5ef0262c620a9a8e8255ff83991b049263552f7d813b2f8a55d375d6c4cfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511694",
    "kind": "arxiv",
    "version": 2
  }
}