Pith Number

pith:GSO35N4H

pith:2015:GSO35N4H5VI6WPSWYH727S3ABV

not attested not anchored not stored refs pending

Describing Groups

Meng-Che Ho

arxiv:1512.03729 v3 · 2015-12-11 · 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{GSO35N4H5VI6WPSWYH727S3ABV}

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	2026-05-18T01:16:59.898919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

349dbeb787ed51eb3e56c1ffafcb600d44ccf2aeaaaa488164035fee87398c9e

Aliases

arxiv: 1512.03729 · arxiv_version: 1512.03729v3 · doi: 10.48550/arxiv.1512.03729 · pith_short_12: GSO35N4H5VI6 · pith_short_16: GSO35N4H5VI6WPSW · pith_short_8: GSO35N4H

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/GSO35N4H5VI6WPSWYH727S3ABV \
  | 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: 349dbeb787ed51eb3e56c1ffafcb600d44ccf2aeaaaa488164035fee87398c9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8154e4e6e105c61261cf034bf6a13dddda9736146b9d74036c1943803e817191",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-12-11T17:23:09Z",
    "title_canon_sha256": "cf16a8e60ad88e23f91503f3c37a818fe5b3a121da634524e3068ee85131f9c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03729",
    "kind": "arxiv",
    "version": 3
  }
}