Pith Number

pith:DLLEV34R

pith:2003:DLLEV34REHZXS4JA6KGELUOT7G

not attested not anchored not stored refs pending

U-turn Alternating Sign Matrices, Symplectic Shifted Tableaux and Their Weighted Enumeration

A.M. Hamel, R.C. King

arxiv:math/0312169 v1 · 2003-12-08 · 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{DLLEV34REHZXS4JA6KGELUOT7G}

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	2026-07-04T14:38:04.371813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ad64aef9121f3797120f28c45d1d3f99fc8323be740c319dc9468954b7062e1

Aliases

arxiv: math/0312169 · arxiv_version: math/0312169v1 · doi: 10.48550/arxiv.math/0312169 · pith_short_12: DLLEV34REHZX · pith_short_16: DLLEV34REHZXS4JA · pith_short_8: DLLEV34R

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/DLLEV34REHZXS4JA6KGELUOT7G \
  | 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: 1ad64aef9121f3797120f28c45d1d3f99fc8323be740c319dc9468954b7062e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8c557113e54231fe341cd23b912f1618e9ff116f30158bef2c0309e875d2eb0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2003-12-08T18:57:16Z",
    "title_canon_sha256": "b0966713ba55639a36f1644d7cb7b018e2a24effc6bcda05950202849773d2cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312169",
    "kind": "arxiv",
    "version": 1
  }
}