Pith Number

pith:VE3MLPM2

pith:2023:VE3MLPM264LMGGTKLIHCCFSXJK

not attested not anchored not stored refs pending

Double categories of relations relative to factorisation systems

Hayato Nasu, Keisuke Hoshino

arxiv:2310.19428 v3 · 2023-10-30 · 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{VE3MLPM264LMGGTKLIHCCFSXJK}

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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

Logical Aspects of Virtual Double Categories

Receipt and verification

First computed	2026-07-05T10:04:10.674593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a936c5bd9af716c31a6a5a0e2116574aa4281214e01aa140ba8a1c56a27826a0

Aliases

arxiv: 2310.19428 · arxiv_version: 2310.19428v3 · doi: 10.48550/arxiv.2310.19428 · pith_short_12: VE3MLPM264LM · pith_short_16: VE3MLPM264LMGGTK · pith_short_8: VE3MLPM2

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/VE3MLPM264LMGGTKLIHCCFSXJK \
  | 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: a936c5bd9af716c31a6a5a0e2116574aa4281214e01aa140ba8a1c56a27826a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07524153e45180736d3eff943f29adf86a956439f7b9004c5a2c4080f225ecdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2023-10-30T10:37:34Z",
    "title_canon_sha256": "61b84cc2d5444acb1d3142b35e5c757c9871365e2627ccbbad7851b03e3e7d47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.19428",
    "kind": "arxiv",
    "version": 3
  }
}