Pith Number

pith:RHCHI6LQ

pith:2016:RHCHI6LQPVDXTSMJVZDLKS5Q7M

not attested not anchored not stored refs pending

Free Energy on a Cycle Graph and Trigonometric Deformation of Heat Kernel Traces on Odd Spheres

Gifu College), Kiyoshi Shiraishi (Yamaguchi University), Nahomi Kan (NIT

arxiv:1612.07024 v3 · 2016-12-21 · math-ph · hep-th · 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{RHCHI6LQPVDXTSMJVZDLKS5Q7M}

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	2026-05-18T00:19:47.711311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89c47479707d4779c989ae46b54bb0fb36fef707302dc2e77fbfb20981a91473

Aliases

arxiv: 1612.07024 · arxiv_version: 1612.07024v3 · doi: 10.48550/arxiv.1612.07024 · pith_short_12: RHCHI6LQPVDX · pith_short_16: RHCHI6LQPVDXTSMJ · pith_short_8: RHCHI6LQ

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/RHCHI6LQPVDXTSMJVZDLKS5Q7M \
  | 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: 89c47479707d4779c989ae46b54bb0fb36fef707302dc2e77fbfb20981a91473

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58490bbf1522497d8e66fe36789684529316abc6fe4e69630844da87e17aa9a2",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-21T09:28:34Z",
    "title_canon_sha256": "3a51bfbf84394fe285f303d5bf8db479f519b147ec928ae32f8ff5de56296b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07024",
    "kind": "arxiv",
    "version": 3
  }
}