Pith Number

pith:P25IF25F

pith:2011:P25IF25FXMTZOG2KEMIGIOR3UW

not attested not anchored not stored refs pending

Equivalence of categories, Gruson-Jensen duality, and applications

M.C.Iovanov, S. Crivei

arxiv:1110.0554 v1 · 2011-10-04 · math.CT · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P25IF25FXMTZOG2KEMIGIOR3UW}

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	2026-05-18T04:11:49.559975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eba82eba5bb27971b4a2310643a3ba5a0a6c8ed9dd529df329084400e53a249

Aliases

arxiv: 1110.0554 · arxiv_version: 1110.0554v1 · doi: 10.48550/arxiv.1110.0554 · pith_short_12: P25IF25FXMTZ · pith_short_16: P25IF25FXMTZOG2K · pith_short_8: P25IF25F

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/P25IF25FXMTZOG2KEMIGIOR3UW \
  | 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: 7eba82eba5bb27971b4a2310643a3ba5a0a6c8ed9dd529df329084400e53a249

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1576cb8ff1a94c5eca810a2f70bfc2408f48ce0380c0cf51115573d3e3a3dd2e",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-10-04T01:05:16Z",
    "title_canon_sha256": "0f6ce91b14ef765a01a555721d5d59e3c0e515931e5c43d5791d778a24fb0951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0554",
    "kind": "arxiv",
    "version": 1
  }
}