Pith Number

pith:PMANBULP

pith:2012:PMANBULPBHSAWCV2SJIB3CTYSH

not attested not anchored not stored refs pending

Asymptotic probabilities of extension properties and random $l$-colourable structures

Vera Koponen

arxiv:1204.2460 v1 · 2012-04-11 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMANBULPBHSAWCV2SJIB3CTYSH}

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	2026-05-18T03:58:05.290184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b00d0d16f09e40b0aba92501d8a7891c877babb2a2d631a15ea07cb75394e19

Aliases

arxiv: 1204.2460 · arxiv_version: 1204.2460v1 · doi: 10.48550/arxiv.1204.2460 · pith_short_12: PMANBULPBHSA · pith_short_16: PMANBULPBHSAWCV2 · pith_short_8: PMANBULP

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/PMANBULPBHSAWCV2SJIB3CTYSH \
  | 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: 7b00d0d16f09e40b0aba92501d8a7891c877babb2a2d631a15ea07cb75394e19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1af1db43ad05ad9248564e9d5c8c63a334bca19954d82f7079179bbc689335f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-04-11T14:25:29Z",
    "title_canon_sha256": "e0c79a1fe0b84ef9743ba76494c6a57ddf7253737ea030ef3d2f06ebd4b7b72c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2460",
    "kind": "arxiv",
    "version": 1
  }
}