Pith Number

pith:IHFM454Q

pith:2010:IHFM454QH4IQ2UJFZFVAHDYUI2

not attested not anchored not stored refs pending

Decidability of definability

Manuel Bodirsky, Michael Pinsker, Todor Tsankov

arxiv:1012.2381 v4 · 2010-12-10 · math.LO · cs.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{IHFM454QH4IQ2UJFZFVAHDYUI2}

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	2026-05-18T04:00:59.967196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41cace77903f110d5125c96a038f1446b874ea33bc1af1d980431a313f367e03

Aliases

arxiv: 1012.2381 · arxiv_version: 1012.2381v4 · doi: 10.48550/arxiv.1012.2381 · pith_short_12: IHFM454QH4IQ · pith_short_16: IHFM454QH4IQ2UJF · pith_short_8: IHFM454Q

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/IHFM454QH4IQ2UJFZFVAHDYUI2 \
  | 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: 41cace77903f110d5125c96a038f1446b874ea33bc1af1d980431a313f367e03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2f46af81a71e887b19f87d135834f31affb51a296b08604e65884dcc25eb8a3",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-12-10T20:57:44Z",
    "title_canon_sha256": "cd139e742e1855a2d291fdfcc84fbf630b67190a8d59aaa7995c1514e778b668"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2381",
    "kind": "arxiv",
    "version": 4
  }
}