Pith Number

pith:AYJW72YM

pith:2010:AYJW72YMLHUDRH66G2WRQERVCN

not attested not anchored not stored refs pending

Relative geometries

Amador Martin Pizarro (ICJ), Frank Olaf Wagner (ICJ), Thomas Blossier (ICJ)

arxiv:1009.0367 v4 · 2010-09-02 · 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{AYJW72YMLHUDRH66G2WRQERVCN}

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	2026-05-18T03:25:16.478534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06136feb0c59e8389fde36ad1812351361c01075f6ec4def5e58c34d41550c49

Aliases

arxiv: 1009.0367 · arxiv_version: 1009.0367v4 · doi: 10.48550/arxiv.1009.0367 · pith_short_12: AYJW72YMLHUD · pith_short_16: AYJW72YMLHUDRH66 · pith_short_8: AYJW72YM

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/AYJW72YMLHUDRH66G2WRQERVCN \
  | 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: 06136feb0c59e8389fde36ad1812351361c01075f6ec4def5e58c34d41550c49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b46d3a87bcff97b5a15f5a794372926f5819d47b137a08d80d5c5b8c8395878e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-09-02T09:58:41Z",
    "title_canon_sha256": "eca60609a4a33a799e43dde2e67f07a0b105f8b1b5291a392f9d12c42d145f08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0367",
    "kind": "arxiv",
    "version": 4
  }
}