Pith Number

pith:23N7OA2G

pith:2022:23N7OA2GVZQU5KBWQTLVJDK4TV

not attested not anchored not stored refs pending

The semi-random tree process

Lyuben Lichev, Sofiya Burova

arxiv:2204.07376 v2 · 2022-04-15 · 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{23N7OA2GVZQU5KBWQTLVJDK4TV}

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	2026-07-05T06:31:03.561716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6dbf70346ae614ea83684d7548d5c9d5889c79260a5d14dfce31e9e2c04786d

Aliases

arxiv: 2204.07376 · arxiv_version: 2204.07376v2 · doi: 10.48550/arxiv.2204.07376 · pith_short_12: 23N7OA2GVZQU · pith_short_16: 23N7OA2GVZQU5KBW · pith_short_8: 23N7OA2G

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/23N7OA2GVZQU5KBWQTLVJDK4TV \
  | 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: d6dbf70346ae614ea83684d7548d5c9d5889c79260a5d14dfce31e9e2c04786d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5438fb3effe158739e583849ee8a21fe233fdcb3b79059853800eec1883d1f8e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-04-15T08:26:15Z",
    "title_canon_sha256": "a15d8487a9f62986886040130486e9d7b3332fda82305822a6c484e163a5ef68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.07376",
    "kind": "arxiv",
    "version": 2
  }
}