Pith Number

pith:FMFAN4EI

pith:2007:FMFAN4EIQT7L5FZHVLBZORBD2W

not attested not anchored not stored refs pending

Symmetric pairs and Gorelik elements

Emanuela Petracci, Michel Duflo

arxiv:math/0701267 v1 · 2007-01-09 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMFAN4EIQT7L5FZHVLBZORBD2W}

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	2026-05-18T04:28:28.044851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b0a06f08884febe9727aac3974423d5a3f5433e15bde7a9b596673890c89365

Aliases

arxiv: math/0701267 · arxiv_version: math/0701267v1 · doi: 10.48550/arxiv.math/0701267 · pith_short_12: FMFAN4EIQT7L · pith_short_16: FMFAN4EIQT7L5FZH · pith_short_8: FMFAN4EI

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/FMFAN4EIQT7L5FZHVLBZORBD2W \
  | 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: 2b0a06f08884febe9727aac3974423d5a3f5433e15bde7a9b596673890c89365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdd35f560ce6d412e13490ec8ff33274dce15b5ff9abfbb554ff26484fe1bebb",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-01-09T20:36:56Z",
    "title_canon_sha256": "adf66478e87e508fe6ceada453ed51174945d4dbde33d92dc913265386f04c77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701267",
    "kind": "arxiv",
    "version": 1
  }
}