Pith Number

pith:VUTF54KL

pith:2015:VUTF54KLESDBZT7JJLQOUUHQHY

not attested not anchored not stored refs pending

Functional determinants, index theorems, and exact quantum black hole entropy

Sameer Murthy, Valentin Reys

arxiv:1504.01400 v3 · 2015-04-06 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUTF54KLESDBZT7JJLQOUUHQHY}

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	2026-05-18T01:21:55.632849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad265ef14b24861ccfe94ae0ea50f03e0789b4cc9122e3055167be589333fece

Aliases

arxiv: 1504.01400 · arxiv_version: 1504.01400v3 · doi: 10.48550/arxiv.1504.01400 · pith_short_12: VUTF54KLESDB · pith_short_16: VUTF54KLESDBZT7J · pith_short_8: VUTF54KL

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/VUTF54KLESDBZT7JJLQOUUHQHY \
  | 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: ad265ef14b24861ccfe94ae0ea50f03e0789b4cc9122e3055167be589333fece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "072e0f39d127eefe88d65de54121558b1a41e0a844a68c4181bb767712db2cdf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-04-06T20:03:48Z",
    "title_canon_sha256": "f710a12fe45f66d523769713b88265211db2db95f9d457033a248021d5e84a9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01400",
    "kind": "arxiv",
    "version": 3
  }
}