Pith Number

pith:DTPYMJ5A

pith:2012:DTPYMJ5A6BNIMJ2CRIHGOWPYXS

not attested not anchored not stored refs pending

Canonical Partition function of Loop Black Holes

Cenalo Vaz, Kinjalk Lochan

arxiv:1202.2301 v2 · 2012-02-10 · 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{DTPYMJ5A6BNIMJ2CRIHGOWPYXS}

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	2026-05-18T03:52:53.046846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cdf8627a0f05a8627428a0e6759f8bc9e796153f33fbaf5d282ace95ed20f4d

Aliases

arxiv: 1202.2301 · arxiv_version: 1202.2301v2 · doi: 10.48550/arxiv.1202.2301 · pith_short_12: DTPYMJ5A6BNI · pith_short_16: DTPYMJ5A6BNIMJ2C · pith_short_8: DTPYMJ5A

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/DTPYMJ5A6BNIMJ2CRIHGOWPYXS \
  | 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: 1cdf8627a0f05a8627428a0e6759f8bc9e796153f33fbaf5d282ace95ed20f4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "699d1c58be7ef2db79dbc64a58b1b9df29f01488c357aac5f026e9331312bc53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-02-10T16:40:40Z",
    "title_canon_sha256": "ff8c7bff10018c0b3ff0dad88483fe22d7b0a111ce16b49444d52bb691cf3940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2301",
    "kind": "arxiv",
    "version": 2
  }
}