Pith Number

pith:MTBYYPLT

pith:2025:MTBYYPLTVPE7ZTJ7S723HS2O33

not attested not anchored not stored refs pending

The heat trace for domains with curved corners

David Sher, Sam Looi

arxiv:2512.04422 v5 · 2025-12-04 · math.SP · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTBYYPLTVPE7ZTJ7S723HS2O33}

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	2026-05-20T00:04:18.413076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c38c3d73abc9fccd3f97f5b3cb4edec53e4513c100f86d7feb9effd575e9d1

Aliases

arxiv: 2512.04422 · arxiv_version: 2512.04422v5 · doi: 10.48550/arxiv.2512.04422 · pith_short_12: MTBYYPLTVPE7 · pith_short_16: MTBYYPLTVPE7ZTJ7 · pith_short_8: MTBYYPLT

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/MTBYYPLTVPE7ZTJ7S723HS2O33 \
  | 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: 64c38c3d73abc9fccd3f97f5b3cb4edec53e4513c100f86d7feb9effd575e9d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dded24d16bf4963a83e4cc87ec9a91ef15452fa7582bdcbbca1b5e8a402a167",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-12-04T03:36:38Z",
    "title_canon_sha256": "0ba5ca3b52a679c90018c8a70901a9a45152acb9a10d6282a56f1974eac86d03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.04422",
    "kind": "arxiv",
    "version": 5
  }
}