Pith Number

pith:N46JI5Z3

pith:2016:N46JI5Z3VS46IGJDDTS56R4TGX

not attested not anchored not stored refs pending

Sheaf and duality methods for analyzing multi-model systems

Michael Robinson

arxiv:1604.04647 v2 · 2016-04-15 · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N46JI5Z3VS46IGJDDTS56R4TGX}

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	2026-05-18T01:00:19.424719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f3c94773bacb9e419231ce5df479335fb3c613fa5b6763ca824ce1605cda693

Aliases

arxiv: 1604.04647 · arxiv_version: 1604.04647v2 · doi: 10.48550/arxiv.1604.04647 · pith_short_12: N46JI5Z3VS46 · pith_short_16: N46JI5Z3VS46IGJD · pith_short_8: N46JI5Z3

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/N46JI5Z3VS46IGJDDTS56R4TGX \
  | 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: 6f3c94773bacb9e419231ce5df479335fb3c613fa5b6763ca824ce1605cda693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cfa964d399a0ec017ab976347e4fa7b5a3a174b554862d2d3aaba5d85bad824",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-04-15T21:33:09Z",
    "title_canon_sha256": "88e6870e48e71135f8d1a3f8a6391e8aebeb1b3c985be106d3d0bfe198b8c032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04647",
    "kind": "arxiv",
    "version": 2
  }
}