Pith Number

pith:KF2OZMQ7

pith:2008:KF2OZMQ7TYQRZPAYTG5VG62I6S

not attested not anchored not stored refs pending

Fixed point theory and trace for bicategories

Kate Ponto

arxiv:0807.1471 v1 · 2008-07-09 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KF2OZMQ7TYQRZPAYTG5VG62I6S}

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	2026-05-18T02:58:13.306297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5174ecb21f9e211cbc1899bb537b48f4af08ae50cb8413e0ed8846c28bf9d94a

Aliases

arxiv: 0807.1471 · arxiv_version: 0807.1471v1 · doi: 10.48550/arxiv.0807.1471 · pith_short_12: KF2OZMQ7TYQR · pith_short_16: KF2OZMQ7TYQRZPAY · pith_short_8: KF2OZMQ7

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/KF2OZMQ7TYQRZPAYTG5VG62I6S \
  | 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: 5174ecb21f9e211cbc1899bb537b48f4af08ae50cb8413e0ed8846c28bf9d94a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "232764cbe77e96d7cafc064938d0dfcb82d1b020c9d7e351d4a9b04487b5bcc7",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-07-09T15:33:31Z",
    "title_canon_sha256": "97e77eec81053610d1dcae136ea6166608c2d1470d21d675d2e28a2d475c6128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1471",
    "kind": "arxiv",
    "version": 1
  }
}