pith. sign in
Pith Number

pith:V3CS7ZCJ

pith:2016:V3CS7ZCJ4GZQTZZII3KQR33VX6
not attested not anchored not stored refs pending

How to avoid a compact set

Antongiulio Fornasiero, Erik Walsberg, Philipp Hieronymi

arxiv:1612.00785 v2 · 2016-12-02 · math.LO · math.MG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{V3CS7ZCJ4GZQTZZII3KQR33VX6}

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 2026-05-18T00:40:13.555020Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

aec52fe449e1b309e72846d508ef75bfbdd4eead5da2e143db445571781a78c0

Aliases

arxiv: 1612.00785 · arxiv_version: 1612.00785v2 · doi: 10.48550/arxiv.1612.00785 · pith_short_12: V3CS7ZCJ4GZQ · pith_short_16: V3CS7ZCJ4GZQTZZI · pith_short_8: V3CS7ZCJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/V3CS7ZCJ4GZQTZZII3KQR33VX6 \
  | 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: aec52fe449e1b309e72846d508ef75bfbdd4eead5da2e143db445571781a78c0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "580eed560d8824eac60f3969678335cd5139845d23cb6e51793158dbfb20aaf4",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-12-02T18:35:52Z",
    "title_canon_sha256": "a763a0b6495b3c79a48de87aec27fdfe737c0be86015d69d1b0b0a105562ebcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00785",
    "kind": "arxiv",
    "version": 2
  }
}