Pith Number

pith:EVWPYX6S

pith:2012:EVWPYX6SDNEL5Z3CXUAHKGB3BD

not attested not anchored not stored refs pending

Periodicity and area spectrum of black holes

Wen-Biao Liu, Xian-Ming Liu, Xiao-Xiong Zeng

arxiv:1203.5947 v2 · 2012-03-27 · 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{EVWPYX6SDNEL5Z3CXUAHKGB3BD}

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	2026-05-18T03:57:26.466488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

256cfc5fd21b48bee762bd0075183b08efd52dc9edd097b04d3c95fd7742bff6

Aliases

arxiv: 1203.5947 · arxiv_version: 1203.5947v2 · doi: 10.48550/arxiv.1203.5947 · pith_short_12: EVWPYX6SDNEL · pith_short_16: EVWPYX6SDNEL5Z3C · pith_short_8: EVWPYX6S

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/EVWPYX6SDNEL5Z3CXUAHKGB3BD \
  | 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: 256cfc5fd21b48bee762bd0075183b08efd52dc9edd097b04d3c95fd7742bff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "367c7f554e51c63ef3168262e289e6a345c864e81dccf07eb6780ba64135c924",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-03-27T12:16:44Z",
    "title_canon_sha256": "59fc028f92da35058f9f43b19f025a172268daba5af23a6fabf171e406e5ffb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5947",
    "kind": "arxiv",
    "version": 2
  }
}