Pith Number

pith:NKEAI7JF

pith:2025:NKEAI7JFBYXHFHZJFXC7O6CZFL

not attested not anchored not stored refs pending

A Three-Dimensional SFT with Sparse Columns

Ilkka T\"orm\"a, Ville Salo

arxiv:2512.10499 v2 · 2025-12-11 · math.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKEAI7JFBYXHFHZJFXC7O6CZFL}

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	2026-05-20T00:00:30.037443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a88047d250e2e729f292dc5f778592aeba5fd6c8613c19c8c1a0b103db240a1

Aliases

arxiv: 2512.10499 · arxiv_version: 2512.10499v2 · doi: 10.48550/arxiv.2512.10499 · pith_short_12: NKEAI7JFBYXH · pith_short_16: NKEAI7JFBYXHFHZJ · pith_short_8: NKEAI7JF

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/NKEAI7JFBYXHFHZJFXC7O6CZFL \
  | 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: 6a88047d250e2e729f292dc5f778592aeba5fd6c8613c19c8c1a0b103db240a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a9e1ee45e4fcd4e22f7cecb29cfd9b7f2ca9a9302731e1f36367f53259bed19",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-12-11T10:21:06Z",
    "title_canon_sha256": "d543c520523da1a30e44e4360b1061b7da2e13f489fea64502a9a09693e579c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.10499",
    "kind": "arxiv",
    "version": 2
  }
}