Pith Number

pith:KFQIE5FX

pith:2015:KFQIE5FXDQTCET6NVMQIETA27X

not attested not anchored not stored refs pending

Coarsening with a frozen vertex

C.M. Newman, H. Kogan, M. Damron, V. Sidoravicius

arxiv:1512.08491 v1 · 2015-12-28 · 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{KFQIE5FXDQTCET6NVMQIETA27X}

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	2026-05-18T01:23:40.545570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51608274b71c26224fcdab20824c1afdf0153b2411e30cfcd66f1e04fc2c824b

Aliases

arxiv: 1512.08491 · arxiv_version: 1512.08491v1 · doi: 10.48550/arxiv.1512.08491 · pith_short_12: KFQIE5FXDQTC · pith_short_16: KFQIE5FXDQTCET6N · pith_short_8: KFQIE5FX

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/KFQIE5FXDQTCET6NVMQIETA27X \
  | 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: 51608274b71c26224fcdab20824c1afdf0153b2411e30cfcd66f1e04fc2c824b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1caaae97a916106ff96d7686492a9d0fb06f7f716fbf606b3d7fba1d78c97ff8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-28T19:52:52Z",
    "title_canon_sha256": "c7bc7606d2a1242126c75a6633745c5158c24a0e62d4a1b9ad79fff003d9cf4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08491",
    "kind": "arxiv",
    "version": 1
  }
}