Pith Number

pith:344OE56O

pith:2013:344OE56OUDJYHMGF5FLFNBET77

not attested not anchored not stored refs pending

Digraph functors which admit both left and right adjoints

Claude Tardif, Jan Foniok

arxiv:1304.2204 v2 · 2013-04-08 · math.CO · cs.DM · 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{344OE56OUDJYHMGF5FLFNBET77}

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	2026-05-18T01:58:27.496644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df38e277cea0d383b0c5e956568493ffcabb2c8c21ac6737d3f5982c68eb7c76

Aliases

arxiv: 1304.2204 · arxiv_version: 1304.2204v2 · doi: 10.48550/arxiv.1304.2204 · pith_short_12: 344OE56OUDJY · pith_short_16: 344OE56OUDJYHMGF · pith_short_8: 344OE56O

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/344OE56OUDJYHMGF5FLFNBET77 \
  | 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: df38e277cea0d383b0c5e956568493ffcabb2c8c21ac6737d3f5982c68eb7c76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9024d82cf053b08ab81d52a320ebda00000e84b0574f3fb4d47f7a56c8814a5a",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-08T13:37:09Z",
    "title_canon_sha256": "c6f596fab13b619f8e35db26552c0914864657d664524185f140c1184a90fd00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2204",
    "kind": "arxiv",
    "version": 2
  }
}