Pith Number

pith:DAN3HUNJ

pith:2019:DAN3HUNJQ7WKYXD37DQOCEGJI4

not attested not anchored not stored refs pending

Bicategories of fractions revisited: towards small homs and canonical 2-cells

Dorette Pronk, Laura Scull

arxiv:1908.01215 v3 · 2019-08-03 · 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{DAN3HUNJQ7WKYXD37DQOCEGJI4}

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	2026-07-05T04:46:09.784594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

181bb3d1a987ecac5c7bf8e0e110c9472afbfb61be4adde469818ad59ed05934

Aliases

arxiv: 1908.01215 · arxiv_version: 1908.01215v3 · doi: 10.48550/arxiv.1908.01215 · pith_short_12: DAN3HUNJQ7WK · pith_short_16: DAN3HUNJQ7WKYXD3 · pith_short_8: DAN3HUNJ

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/DAN3HUNJQ7WKYXD37DQOCEGJI4 \
  | 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: 181bb3d1a987ecac5c7bf8e0e110c9472afbfb61be4adde469818ad59ed05934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b6e1afb9c1fc2c26594c3a05e932463ab005ff490d016dffb9c554d67a03eaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-08-03T18:30:57Z",
    "title_canon_sha256": "a5573f85dd25dc0379404711dd891d7ce97e7b6efb85ef1f5c760b0769afcb45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01215",
    "kind": "arxiv",
    "version": 3
  }
}