Pith Number

pith:UXOQYJDP

pith:2021:UXOQYJDP6JSI3C4XD7TI2KWAH3

not attested not anchored not stored refs pending

Coherence for bicategories, lax functors, and shadows

Cary Malkiewich, Kate Ponto

arxiv:2109.01249 v1 · 2021-09-02 · 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{UXOQYJDP6JSI3C4XD7TI2KWAH3}

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.

Cited by

1 paper in Pith

Frobenius and Verschiebung for $K$-theory of endomorphisms

Receipt and verification

First computed	2026-07-05T03:11:16.707124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5dd0c246ff2648d8b971fe68d2ac03ee7bc9f77b6ae179da1ac10b3aaff878c

Aliases

arxiv: 2109.01249 · arxiv_version: 2109.01249v1 · doi: 10.48550/arxiv.2109.01249 · pith_short_12: UXOQYJDP6JSI · pith_short_16: UXOQYJDP6JSI3C4X · pith_short_8: UXOQYJDP

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/UXOQYJDP6JSI3C4XD7TI2KWAH3 \
  | 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: a5dd0c246ff2648d8b971fe68d2ac03ee7bc9f77b6ae179da1ac10b3aaff878c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f8aa91b0e15140197b033afe046afcd34c75638961226a29034196356b08752",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-09-02T23:51:00Z",
    "title_canon_sha256": "c1e53b4db1d33fac3f1fc65631fc8e0e213d725b4afdf8f534be4eba0154a409"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.01249",
    "kind": "arxiv",
    "version": 1
  }
}