Pith Number

pith:P4LJTJX2

pith:2014:P4LJTJX2L4P45QN2QX5TGGDAOC

not attested not anchored not stored refs pending

A sign-reversing involution for an extension of Torelli's Pfaffian identity

N. Bradley Fox, Richard Ehrenborg

arxiv:1408.6405 v1 · 2014-08-27 · 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{P4LJTJX2L4P45QN2QX5TGGDAOC}

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	2026-05-18T02:44:07.595709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f1699a6fa5f1fcec1ba85fb33186070a596ea2e2c87244cb34dcc5dc01ca076

Aliases

arxiv: 1408.6405 · arxiv_version: 1408.6405v1 · doi: 10.48550/arxiv.1408.6405 · pith_short_12: P4LJTJX2L4P4 · pith_short_16: P4LJTJX2L4P45QN2 · pith_short_8: P4LJTJX2

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/P4LJTJX2L4P45QN2QX5TGGDAOC \
  | 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: 7f1699a6fa5f1fcec1ba85fb33186070a596ea2e2c87244cb34dcc5dc01ca076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0ceabd90b568eaf34d37d7751a559e3bb8b71bace8f71e78d32569aec45f0e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-27T13:24:09Z",
    "title_canon_sha256": "709e052ad443aae3d1a4e5d20254c4ec4f5e793e59fa2caa66d7a2c677036353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6405",
    "kind": "arxiv",
    "version": 1
  }
}