Pith Number

pith:XFRNMPDE

pith:2012:XFRNMPDEXJ727EBWPVAH2VQBUJ

not attested not anchored not stored refs pending

On dynamical adjoint functor

Andrey Mudrov

arxiv:1203.5965 v1 · 2012-03-27 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFRNMPDEXJ727EBWPVAH2VQBUJ}

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	2026-05-18T03:59:12.894708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b962d63c64ba7faf90367d407d5601a25e4aee6e335483b2514e543988f4c697

Aliases

arxiv: 1203.5965 · arxiv_version: 1203.5965v1 · doi: 10.48550/arxiv.1203.5965 · pith_short_12: XFRNMPDEXJ72 · pith_short_16: XFRNMPDEXJ727EBW · pith_short_8: XFRNMPDE

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/XFRNMPDEXJ727EBWPVAH2VQBUJ \
  | 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: b962d63c64ba7faf90367d407d5601a25e4aee6e335483b2514e543988f4c697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "776ae168ac5b0cd70e57892ca96235afa758009170f9421ed8df47b62e793cd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-03-27T13:11:12Z",
    "title_canon_sha256": "cbd23bd7451aad3fa7b824b1badcf32b0d720e7bf7d12f654792f011ac8e5e80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5965",
    "kind": "arxiv",
    "version": 1
  }
}