Pith Number

pith:TMFZJZJN

pith:2026:TMFZJZJNASHY7BNQ4AI2WZ7WTJ

not attested not anchored not stored refs pending

Logarithm of charge ratio in black hole entropy

Ashoke Sen, Muktajyoti Saha, P. Shanmugapriya

arxiv:2605.30417 v1 · 2026-05-28 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMFZJZJNASHY7BNQ4AI2WZ7WTJ}

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	2026-06-01T00:02:09.975592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b0b94e52d048f8f85b0e011ab67f69a77d1d4836c063db316eba645b3aeeb5f

Aliases

arxiv: 2605.30417 · arxiv_version: 2605.30417v1 · doi: 10.48550/arxiv.2605.30417 · pith_short_12: TMFZJZJNASHY · pith_short_16: TMFZJZJNASHY7BNQ · pith_short_8: TMFZJZJN

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/TMFZJZJNASHY7BNQ4AI2WZ7WTJ \
  | 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: 9b0b94e52d048f8f85b0e011ab67f69a77d1d4836c063db316eba645b3aeeb5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de16661e1fe8bd5b97085bdb7951438d361583f982c2aa5d559d0d139787362a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-28T18:00:02Z",
    "title_canon_sha256": "0a4c6504ecc69df4c671e24219e9612b55418381a9b6c80738ecc923b13f14b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30417",
    "kind": "arxiv",
    "version": 1
  }
}