Pith Number

pith:7Z4D2QX5

pith:2008:7Z4D2QX5K4XXWDUBCHXQAYYBOO

not attested not anchored not stored refs pending

Balanced routing of random calls

Colin McDiarmid, Malwina J. Luczak

arxiv:0801.1260 v3 · 2008-01-08 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Z4D2QX5K4XXWDUBCHXQAYYBOO}

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	2026-05-18T01:37:45.200997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe783d42fd572f7b0e8111ef00630173b02d6d942a21da6a6825aaac0ed8dab5

Aliases

arxiv: 0801.1260 · arxiv_version: 0801.1260v3 · doi: 10.48550/arxiv.0801.1260 · pith_short_12: 7Z4D2QX5K4XX · pith_short_16: 7Z4D2QX5K4XXWDUB · pith_short_8: 7Z4D2QX5

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/7Z4D2QX5K4XXWDUBCHXQAYYBOO \
  | 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: fe783d42fd572f7b0e8111ef00630173b02d6d942a21da6a6825aaac0ed8dab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5524ed44bebe91eabcc663ed834622e2ff0fa77a92a18b41d280b8d8957c0e0a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-01-08T20:51:25Z",
    "title_canon_sha256": "65bc1ee31a8cd51b22163ea5863539d18eeee86c071aa55a4e0649e219b33fe8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.1260",
    "kind": "arxiv",
    "version": 3
  }
}