Pith Number

pith:2MPPPJAL

pith:2015:2MPPPJALB34JT4HAYQFTJ6EA3W

not attested not anchored not stored refs pending

Dense free sets

Shimon Garti

arxiv:1509.05132 v1 · 2015-09-17 · 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{2MPPPJALB34JT4HAYQFTJ6EA3W}

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	2026-05-18T00:59:26.501303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d31ef7a40b0ef899f0e0c40b34f880dda5e9d09c7c5f46fdc15cb8bebc833250

Aliases

arxiv: 1509.05132 · arxiv_version: 1509.05132v1 · doi: 10.48550/arxiv.1509.05132 · pith_short_12: 2MPPPJALB34J · pith_short_16: 2MPPPJALB34JT4HA · pith_short_8: 2MPPPJAL

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/2MPPPJALB34JT4HAYQFTJ6EA3W \
  | 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: d31ef7a40b0ef899f0e0c40b34f880dda5e9d09c7c5f46fdc15cb8bebc833250

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1016c3ecba300ed87cb02d3e8b0afd1e1f9fb3b2afd6968281fc9c20f8b3aac9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-09-17T05:45:19Z",
    "title_canon_sha256": "fec23fef2abc5c85be8e7dce8a992c38e05b1b68ed35b8813baa7141a147d107"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05132",
    "kind": "arxiv",
    "version": 1
  }
}