Pith Number

pith:64IRWSL7

pith:2017:64IRWSL7TQWRDXQQ25D5KTAYFD

not attested not anchored not stored refs pending

A poset $\Phi_n$ whose maximal chains are in bijection with the $n \times n$ alternating sign matrices

Paul Terwilliger

arxiv:1710.04733 v1 · 2017-10-12 · 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{64IRWSL7TQWRDXQQ25D5KTAYFD}

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	2026-05-18T00:32:56.900513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7111b497f9c2d11de10d747d54c1828f250a8a991760b5077647b79061ad529

Aliases

arxiv: 1710.04733 · arxiv_version: 1710.04733v1 · doi: 10.48550/arxiv.1710.04733 · pith_short_12: 64IRWSL7TQWR · pith_short_16: 64IRWSL7TQWRDXQQ · pith_short_8: 64IRWSL7

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/64IRWSL7TQWRDXQQ25D5KTAYFD \
  | 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: f7111b497f9c2d11de10d747d54c1828f250a8a991760b5077647b79061ad529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b7a98e68249ce20ca3301177d68db684dc1adeec648ad30ab1d87b8d83ffc42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-12T21:49:24Z",
    "title_canon_sha256": "af161d58674a7739608548708c1f6557c88021aa79eafb35d5ef4df2c93bb1cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04733",
    "kind": "arxiv",
    "version": 1
  }
}