Pith Number

pith:IOOOSFYW

pith:2008:IOOOSFYWCNJTPXDUGTMPEYOZTG

not attested not anchored not stored refs pending

A formal system for Euclid's Elements

Edward Dean, Jeremy Avigad, John Mumma

arxiv:0810.4315 v3 · 2008-10-23 · 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{IOOOSFYWCNJTPXDUGTMPEYOZTG}

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	2026-05-18T03:03:33.203506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

439ce91716135337dc7434d8f261d9998859783d694e80e7cbed366912d70877

Aliases

arxiv: 0810.4315 · arxiv_version: 0810.4315v3 · doi: 10.48550/arxiv.0810.4315 · pith_short_12: IOOOSFYWCNJT · pith_short_16: IOOOSFYWCNJTPXDU · pith_short_8: IOOOSFYW

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/IOOOSFYWCNJTPXDUGTMPEYOZTG \
  | 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: 439ce91716135337dc7434d8f261d9998859783d694e80e7cbed366912d70877

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0410a4ce2a806bd6d83e8edde14631f659240af4030a784abb69d5752a7dbad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2008-10-23T18:49:56Z",
    "title_canon_sha256": "6fe38263ee7c7f6b3fe164118b70964f21d10f0a3c3f4f9ad232b74219115002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.4315",
    "kind": "arxiv",
    "version": 3
  }
}