Pith Number

pith:EK25HDM6

pith:2012:EK25HDM6HUV5ME2WC4LTAPQKD7

not attested not anchored not stored refs pending

A modified Gallagher's Lemma

Giovanni Coppola, Maurizio Laporta

arxiv:1301.0008 v1 · 2012-12-31 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EK25HDM6HUV5ME2WC4LTAPQKD7}

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	2026-05-18T03:37:28.610806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22b5d38d9e3d2bd613561717303e0a1fda08f0c48d53d8a8c996788b00b82e44

Aliases

arxiv: 1301.0008 · arxiv_version: 1301.0008v1 · doi: 10.48550/arxiv.1301.0008 · pith_short_12: EK25HDM6HUV5 · pith_short_16: EK25HDM6HUV5ME2W · pith_short_8: EK25HDM6

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/EK25HDM6HUV5ME2WC4LTAPQKD7 \
  | 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: 22b5d38d9e3d2bd613561717303e0a1fda08f0c48d53d8a8c996788b00b82e44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5a7be033a903c03dd96dbbc21a2bda7ceff4553bfb8fe5d4738cce27b1f476d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-31T10:28:42Z",
    "title_canon_sha256": "6a399f02da39ef419f0c54eb9437e1377c62e3bf43e3ecc5ecc7e05f9e5a7532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0008",
    "kind": "arxiv",
    "version": 1
  }
}