Pith Number

pith:UTSL6XNK

pith:2019:UTSL6XNKSDOAGL5B42D2FDYJV6

not attested not anchored not stored refs pending

Refined Enumeration of Symmetry Classes of Alternating Sign Matrices

Ilse Fischer, Manjil P. Saikia

arxiv:1906.07723 v1 · 2019-06-18 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTSL6XNKSDOAGL5B42D2FDYJV6}

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	2026-05-17T23:42:57.899402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4e4bf5daa90dc032fa1e687a28f09af86c90f3dc3d20e686cb2606640fa121f

Aliases

arxiv: 1906.07723 · arxiv_version: 1906.07723v1 · doi: 10.48550/arxiv.1906.07723 · pith_short_12: UTSL6XNKSDOA · pith_short_16: UTSL6XNKSDOAGL5B · pith_short_8: UTSL6XNK

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/UTSL6XNKSDOAGL5B42D2FDYJV6 \
  | 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: a4e4bf5daa90dc032fa1e687a28f09af86c90f3dc3d20e686cb2606640fa121f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "442e7aaa3854fa9481559a19667c446cef6577e219b01d8a81dcddcf80d09ed6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-18T16:22:09Z",
    "title_canon_sha256": "fd95bdf1285f5beed802bd5021c008947e2f120abdf5105ef5db813d06135aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07723",
    "kind": "arxiv",
    "version": 1
  }
}