Pith Number

pith:P3MF4UA4

pith:2012:P3MF4UA4PHUSD6DVG65FMC2X3X

not attested not anchored not stored refs pending

Standard models of abstract intersection theory for operators in Hilbert space

Grzegorz Banaszak, Yoichi Uetake

arxiv:1210.3526 v1 · 2012-10-12 · math.NT · math.AG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3MF4UA4PHUSD6DVG65FMC2X3X}

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	2026-05-18T03:43:19.511769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ed85e501c79e921f87537ba560b57dddc177cc3b005cb4db25434be129d12b2

Aliases

arxiv: 1210.3526 · arxiv_version: 1210.3526v1 · doi: 10.48550/arxiv.1210.3526 · pith_short_12: P3MF4UA4PHUS · pith_short_16: P3MF4UA4PHUSD6DV · pith_short_8: P3MF4UA4

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/P3MF4UA4PHUSD6DVG65FMC2X3X \
  | 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: 7ed85e501c79e921f87537ba560b57dddc177cc3b005cb4db25434be129d12b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5df77eba8534f27dee121d6f7b5ac5ed589aa95d06744135ef742f897c4af37e",
    "cross_cats_sorted": [
      "math.AG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-12T14:18:24Z",
    "title_canon_sha256": "138a65cac38ef7cce8817e92655f714fe61d9e75ab12eb2adea31e9bd5d97763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3526",
    "kind": "arxiv",
    "version": 1
  }
}