Pith Number

pith:CF2EZBDM

pith:2010:CF2EZBDM6T3T5R2XD52RZNR4ML

not attested not anchored not stored refs pending

Stability conditions via spherical objects

Daniel Huybrechts

arxiv:1009.4372 v1 · 2010-09-22 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CF2EZBDM6T3T5R2XD52RZNR4ML}

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	2026-05-18T03:13:43.857281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11744c846cf4f73ec7571f751cb63c62c42fd15e3d76a19d8f8301de99dd7b91

Aliases

arxiv: 1009.4372 · arxiv_version: 1009.4372v1 · doi: 10.48550/arxiv.1009.4372 · pith_short_12: CF2EZBDM6T3T · pith_short_16: CF2EZBDM6T3T5R2X · pith_short_8: CF2EZBDM

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/CF2EZBDM6T3T5R2XD52RZNR4ML \
  | 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: 11744c846cf4f73ec7571f751cb63c62c42fd15e3d76a19d8f8301de99dd7b91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9926cc7a085adb2753f2caece6c345f722637dcc7cfe889eae526d7b557a6e21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-22T14:34:14Z",
    "title_canon_sha256": "bfe23774e03c3c329e9b026caad2316166728c4bd5f03cc84c08b10f80b19d18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4372",
    "kind": "arxiv",
    "version": 1
  }
}