Pith Number

pith:MR2QKOHI

pith:2013:MR2QKOHIBVYHFQ4ZWB65UXCILF

not attested not anchored not stored refs pending

Some algebraic identities for the alpha-permanent

Harry Crane

arxiv:1304.1772 v1 · 2013-04-04 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MR2QKOHIBVYHFQ4ZWB65UXCILF}

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	2026-05-18T03:28:54.719623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64750538e80d7072c399b07dda5c48597560483c98bfe4a604de06dfc161c76c

Aliases

arxiv: 1304.1772 · arxiv_version: 1304.1772v1 · doi: 10.48550/arxiv.1304.1772 · pith_short_12: MR2QKOHIBVYH · pith_short_16: MR2QKOHIBVYHFQ4Z · pith_short_8: MR2QKOHI

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/MR2QKOHIBVYHFQ4ZWB65UXCILF \
  | 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: 64750538e80d7072c399b07dda5c48597560483c98bfe4a604de06dfc161c76c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "971280779b0196d2d018daaca3537a2b88b80d29e97a2b5d072cae80eb11e5a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-04T03:01:00Z",
    "title_canon_sha256": "6975ef5defabd76c89a2210a1259943596af2c7e47270fb6ef81e30245edeeaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1772",
    "kind": "arxiv",
    "version": 1
  }
}