Pith Number

pith:FKQM6CP4

pith:2024:FKQM6CP47K3OYWJ2ZK5WEJA26H

not attested not anchored not stored refs pending

Ancient caloric functions and parabolic frequency on graphs

Archana Mohandas, Tang-Kai Lee

arxiv:2412.15145 v1 · 2024-12-19 · math.AP · 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{FKQM6CP47K3OYWJ2ZK5WEJA26H}

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	2026-07-05T09:51:58.503211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aa0cf09fcfab6ec593acabb62241af1d1a41a989ff30af93f140d0180a67b80

Aliases

arxiv: 2412.15145 · arxiv_version: 2412.15145v1 · doi: 10.48550/arxiv.2412.15145 · pith_short_12: FKQM6CP47K3O · pith_short_16: FKQM6CP47K3OYWJ2 · pith_short_8: FKQM6CP4

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/FKQM6CP47K3OYWJ2ZK5WEJA26H \
  | 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: 2aa0cf09fcfab6ec593acabb62241af1d1a41a989ff30af93f140d0180a67b80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "394712e55725a3f9e14de0e4f901e65d10c8a60577981006248563c6e29ba646",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-19T18:27:07Z",
    "title_canon_sha256": "5510cf6bdd0ba74fdb12e5ae73763d60e07ed09b27e10e2fa3caecdb152c8486"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15145",
    "kind": "arxiv",
    "version": 1
  }
}