Pith Number

pith:FDFT5GDA

pith:2010:FDFT5GDAFI3MWS55SKQ3VKVWKA

not attested not anchored not stored refs pending

Signature of the black hole phase transition in quasinormal modes

Bin Wang, Chi-Yong Lin, Rong-Gen Cai, Xi He

arxiv:1002.2679 v2 · 2010-02-13 · 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{FDFT5GDAFI3MWS55SKQ3VKVWKA}

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	2026-05-18T02:24:38.878528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28cb3e98602a36cb4bbd92a1baaab65031027a65fd1c983e5dbd6f0f92eb6468

Aliases

arxiv: 1002.2679 · arxiv_version: 1002.2679v2 · doi: 10.48550/arxiv.1002.2679 · pith_short_12: FDFT5GDAFI3M · pith_short_16: FDFT5GDAFI3MWS55 · pith_short_8: FDFT5GDA

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/FDFT5GDAFI3MWS55SKQ3VKVWKA \
  | 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: 28cb3e98602a36cb4bbd92a1baaab65031027a65fd1c983e5dbd6f0f92eb6468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "924b7681f4400aa5b821e6190b36845cc4dc1da84a98550efe4dffd2aacc1259",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-02-13T04:15:14Z",
    "title_canon_sha256": "98d5a27c9c41bdd5f9d6e66ec15078701e49c58d4ebd81381038f57afe37b67a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2679",
    "kind": "arxiv",
    "version": 2
  }
}