Pith Number

pith:BB2MK5D4

pith:2007:BB2MK5D46REOFZSZPPUGBNDLP6

not attested not anchored not stored refs pending

Effects of quantized fields on the spacetime geometries of static spherically symmetric black holes

Emil Mottola, Hector Calderon, Mathew Binkley, Paul R. Anderson, Ruslan Vaulin, William A. Hiscock

arxiv:0709.4457 v1 · 2007-09-27 · 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{BB2MK5D46REOFZSZPPUGBNDLP6}

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	2026-05-18T00:59:32.976162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0874c5747cf448e2e6597be860b46b7fbca8b45b52e14b51ee5502fcd54f56f5

Aliases

arxiv: 0709.4457 · arxiv_version: 0709.4457v1 · doi: 10.48550/arxiv.0709.4457 · pith_short_12: BB2MK5D46REO · pith_short_16: BB2MK5D46REOFZSZ · pith_short_8: BB2MK5D4

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/BB2MK5D46REOFZSZPPUGBNDLP6 \
  | 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: 0874c5747cf448e2e6597be860b46b7fbca8b45b52e14b51ee5502fcd54f56f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14c1a189d7b697fd528cf61cb72f32123162641d2b22066c2882dbe2cda1cc5f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-09-27T17:25:19Z",
    "title_canon_sha256": "1d6452b88d7d28c7d2800b450d55294a8ddba874c9ea262e0df0095b7eb8ff9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.4457",
    "kind": "arxiv",
    "version": 1
  }
}