Pith Number

pith:4TVKD43J

pith:2015:4TVKD43JBLATPMIA5D27PNLIZK

not attested not anchored not stored refs pending

Factorisation of germ-like series

Sonia L'Innocente, Vincenzo Mantova

arxiv:1512.04895 v2 · 2015-12-15 · 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{4TVKD43JBLATPMIA5D27PNLIZK}

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	2026-05-18T00:34:39.512212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4eaa1f3690ac137b100e8f5f7b568ca974e3313c7773468ce8cfcc027777375

Aliases

arxiv: 1512.04895 · arxiv_version: 1512.04895v2 · doi: 10.48550/arxiv.1512.04895 · pith_short_12: 4TVKD43JBLAT · pith_short_16: 4TVKD43JBLATPMIA · pith_short_8: 4TVKD43J

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/4TVKD43JBLATPMIA5D27PNLIZK \
  | 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: e4eaa1f3690ac137b100e8f5f7b568ca974e3313c7773468ce8cfcc027777375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46eb6566382902e58f73ab02fc2bdecdea5a3a41fd9a98e59a319fd7b5596593",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-12-15T18:51:17Z",
    "title_canon_sha256": "ac434d49edf4e7570d44b67d52e64e0d37cbd008f19d3f335b948cf2df4f887f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04895",
    "kind": "arxiv",
    "version": 2
  }
}