Pith Number

pith:VPNX2RAF

pith:2014:VPNX2RAFUESYGOCMEAMXPSRIGN

not attested not anchored not stored refs pending

Generic family with robustly infinitely many sinks

Pierre Berger

arxiv:1411.6441 v3 · 2014-11-24 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPNX2RAFUESYGOCMEAMXPSRIGN}

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	2026-05-18T01:31:53.273364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abdb7d4405a12583384c201977ca28337bbe2d8cb16f8c18a4ae2ee92efdd7f7

Aliases

arxiv: 1411.6441 · arxiv_version: 1411.6441v3 · doi: 10.48550/arxiv.1411.6441 · pith_short_12: VPNX2RAFUESY · pith_short_16: VPNX2RAFUESYGOCM · pith_short_8: VPNX2RAF

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/VPNX2RAFUESYGOCMEAMXPSRIGN \
  | 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: abdb7d4405a12583384c201977ca28337bbe2d8cb16f8c18a4ae2ee92efdd7f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8a83abe847592143c592a4ee1362233d94fb12c16f16d0c58dbcbbd498d11e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-11-24T13:08:15Z",
    "title_canon_sha256": "21589d770e43e28c5871ed9b78e84e50b67d61fdfd06663f40f58256217763a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6441",
    "kind": "arxiv",
    "version": 3
  }
}