Pith Number

pith:JPKPXQDQ

pith:2012:JPKPXQDQBIFER3WEJMCOUOYXSA

not attested not anchored not stored refs pending

Planar Difference Functions

Asha Rao, Diane Donovan, Joanne L. Hall

arxiv:1205.3310 v2 · 2012-05-15 · math.CO · cs.IT · math.IT · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPKPXQDQBIFER3WEJMCOUOYXSA}

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	2026-05-18T03:49:57.913856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bd4fbc0700a0a48eec44b04ea3b179019ac844d3c3296ffb68b3bf8d050be86

Aliases

arxiv: 1205.3310 · arxiv_version: 1205.3310v2 · doi: 10.48550/arxiv.1205.3310 · pith_short_12: JPKPXQDQBIFE · pith_short_16: JPKPXQDQBIFER3WE · pith_short_8: JPKPXQDQ

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/JPKPXQDQBIFER3WEJMCOUOYXSA \
  | 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: 4bd4fbc0700a0a48eec44b04ea3b179019ac844d3c3296ffb68b3bf8d050be86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ece7874e98b47290188cecf743f30069f1f45866b221b52f5b8a2c9d4e1bbf8",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-15T10:06:16Z",
    "title_canon_sha256": "08979b80a1a0942ba94a0474e7f03541a5d95c61c5e8aef0a5166a4627a756d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3310",
    "kind": "arxiv",
    "version": 2
  }
}