Pith Number

pith:5TMAELQE

pith:2011:5TMAELQE64ZS6AG43VNRIBYIAR

not attested not anchored not stored refs pending

Stability results for random discrete structures

Wojciech Samotij

arxiv:1111.6885 v3 · 2011-11-29 · 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{5TMAELQE64ZS6AG43VNRIBYIAR}

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	2026-05-18T04:00:51.673449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecd8022e04f7332f00dcdd5b140708047ef8a2f52561b3efed6cea06b3eb804b

Aliases

arxiv: 1111.6885 · arxiv_version: 1111.6885v3 · doi: 10.48550/arxiv.1111.6885 · pith_short_12: 5TMAELQE64ZS · pith_short_16: 5TMAELQE64ZS6AG4 · pith_short_8: 5TMAELQE

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/5TMAELQE64ZS6AG43VNRIBYIAR \
  | 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: ecd8022e04f7332f00dcdd5b140708047ef8a2f52561b3efed6cea06b3eb804b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ef25baec59cdac1a3651741df1fa306da3b73a8c5aa49912cc6bceac136e809",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-29T16:37:00Z",
    "title_canon_sha256": "90ee0b6ce9e7512113188a20b303b9a4a5942c9aa31bb967f83cd715a434a779"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6885",
    "kind": "arxiv",
    "version": 3
  }
}