Pith Number

pith:LBKKSD57

pith:1991:LBKKSD57LV6FVLFQSMQLX2NANM

not attested not anchored not stored refs pending

Alternating sign matrices and domino tilings

Greg Kuperberg (UC Berkeley), James Propp (MIT), Michael Larsen (U Penn), Noam Elkies (Harvard)

arxiv:math/9201305 v1 · 1991-06-01 · 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{LBKKSD57LV6FVLFQSMQLX2NANM}

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	2026-07-04T15:08:55.244086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5854a90fbf5d7c5aacb09320bbe9a06b258441e5b4f1774705c7929e78593924

Aliases

arxiv: math/9201305 · arxiv_version: math/9201305v1 · doi: 10.48550/arxiv.math/9201305 · pith_short_12: LBKKSD57LV6F · pith_short_16: LBKKSD57LV6FVLFQ · pith_short_8: LBKKSD57

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/LBKKSD57LV6FVLFQSMQLX2NANM \
  | 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: 5854a90fbf5d7c5aacb09320bbe9a06b258441e5b4f1774705c7929e78593924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9f95f6f0e605dcb7db62fea3211b4485d19cc5014cdce21fe438df10a96c1c2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1991-06-01T00:00:00Z",
    "title_canon_sha256": "cb986e102cbe88395865c727c6cd0a087ecfb905abeeccae9ca2ce2e828f5d6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9201305",
    "kind": "arxiv",
    "version": 1
  }
}