Pith Number

pith:BD7J6G3X

pith:2016:BD7J6G3XJQUF5T2WX7GORIM5LE

not attested not anchored not stored refs pending

Directed Containers as Categories

Danel Ahman, Tarmo Uustalu

arxiv:1604.01187 v1 · 2016-04-05 · cs.LO · cs.PL · 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{BD7J6G3XJQUF5T2WX7GORIM5LE}

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

Functorial aggregation

Receipt and verification

First computed	2026-05-18T01:15:33.957916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08fe9f1b774c285ecf56bfcce8a19d591419eb47085558c5fdbc98fdb46ec1e5

Aliases

arxiv: 1604.01187 · arxiv_version: 1604.01187v1 · doi: 10.48550/arxiv.1604.01187 · pith_short_12: BD7J6G3XJQUF · pith_short_16: BD7J6G3XJQUF5T2W · pith_short_8: BD7J6G3X

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/BD7J6G3XJQUF5T2WX7GORIM5LE \
  | 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: 08fe9f1b774c285ecf56bfcce8a19d591419eb47085558c5fdbc98fdb46ec1e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c315b2f9f9cb9bbddb41b47b2baaa640ce22acb72fec249c590a73b6f4f45e",
    "cross_cats_sorted": [
      "cs.PL",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-04-05T09:04:22Z",
    "title_canon_sha256": "6ba97df609f1cf35166bdeb6a0b2842567de40334e90a467fceb230ce0a368ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01187",
    "kind": "arxiv",
    "version": 1
  }
}