Pith Number

pith:6VMFJIE3

pith:2007:6VMFJIE3Q4JH5KHQU7PJBMSFAI

not attested not anchored not stored refs pending

Vacuum polarization for lukewarm black holes

Elizabeth Winstanley, Phil M. Young

arxiv:0708.3820 v2 · 2007-08-28 · 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{6VMFJIE3Q4JH5KHQU7PJBMSFAI}

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	2026-07-04T15:24:37.695123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f55854a09b87127ea8f0a7de90b24502117d30c5963bd0362264371e79b7d831

Aliases

arxiv: 0708.3820 · arxiv_version: 0708.3820v2 · doi: 10.48550/arxiv.0708.3820 · pith_short_12: 6VMFJIE3Q4JH · pith_short_16: 6VMFJIE3Q4JH5KHQ · pith_short_8: 6VMFJIE3

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/6VMFJIE3Q4JH5KHQU7PJBMSFAI \
  | 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: f55854a09b87127ea8f0a7de90b24502117d30c5963bd0362264371e79b7d831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d29219bf174497407348362f638c6d4a4f953c0ceba736536bdea8d02465fe4b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-08-28T17:11:28Z",
    "title_canon_sha256": "fa18f5baa6f1ff14ec63706f441a4a1de2004b883ed93caf6f041c0af5dc8e63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.3820",
    "kind": "arxiv",
    "version": 2
  }
}