Pith Number

pith:WP3JH3GI

pith:2012:WP3JH3GIIKEKE44UFV63P5AX2N

not attested not anchored not stored refs pending

Combinatorial Reciprocity Theorems

Matthias Beck

arxiv:1201.2212 v1 · 2012-01-11 · 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{WP3JH3GIIKEKE44UFV63P5AX2N}

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	2026-05-18T03:11:24.213801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3f693ecc84288a273942d7db7f417d367a6fefc45cbf728cb29dd22410fc047

Aliases

arxiv: 1201.2212 · arxiv_version: 1201.2212v1 · doi: 10.48550/arxiv.1201.2212 · pith_short_12: WP3JH3GIIKEK · pith_short_16: WP3JH3GIIKEKE44U · pith_short_8: WP3JH3GI

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/WP3JH3GIIKEKE44UFV63P5AX2N \
  | 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: b3f693ecc84288a273942d7db7f417d367a6fefc45cbf728cb29dd22410fc047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d24030df09f49ba5b353d55141d8273d5e67e4c4a44e1ae0b7e1b3fb58150a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-11T00:48:17Z",
    "title_canon_sha256": "e68a1869f977d5cb9b527fecc5644d54f04006f5eec98116c18de376a2e847c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2212",
    "kind": "arxiv",
    "version": 1
  }
}