Pith Number

pith:44LMODF4

pith:2000:44LMODF4MEA2LKYG7GEZQY6YTL

not attested not anchored not stored refs pending

Three alternating sign matrix identities in search of bijective proofs

David M. Bressoud

arxiv:math/0007114 v1 · 2000-07-18 · math.CO · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44LMODF4MEA2LKYG7GEZQY6YTL}

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.

Cited by

1 paper in Pith

Using Large Language Models to Study Mathematical Practice

Receipt and verification

First computed	2026-07-04T14:34:36.512690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e716c70cbc6101a5ab06f9899863d89af6c52ce0b452e387be45268e026bd9ef

Aliases

arxiv: math/0007114 · arxiv_version: math/0007114v1 · doi: 10.48550/arxiv.math/0007114 · pith_short_12: 44LMODF4MEA2 · pith_short_16: 44LMODF4MEA2LKYG · pith_short_8: 44LMODF4

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/44LMODF4MEA2LKYG7GEZQY6YTL \
  | 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: e716c70cbc6101a5ab06f9899863d89af6c52ce0b452e387be45268e026bd9ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb8ec9b115894569f23575e46ee2251c7bf605d44964216036dfec176dec062d",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2000-07-18T14:30:19Z",
    "title_canon_sha256": "bde1ec795bbaf0118e1de746aae5d4862d1a4bb5d2f0349c3bd26dab13806896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0007114",
    "kind": "arxiv",
    "version": 1
  }
}