Pith Number

pith:ZGLZUOQZ

pith:2002:ZGLZUOQZKYMBEZY4GCSPDONH2B

not attested not anchored not stored refs pending

On Fast Travel through spherically symmetric spacetimes

Belkis Cabrera Palmer, Donald Marolf

arxiv:gr-qc/0211045 v2 · 2002-11-12 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGLZUOQZKYMBEZY4GCSPDONH2B}

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	2026-07-04T16:33:48.116473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9979a3a19561812671c30a4f1b9a7d07a14d43196e20a90949b7cd16310fcb7

Aliases

arxiv: gr-qc/0211045 · arxiv_version: gr-qc/0211045v2 · doi: 10.48550/arxiv.gr-qc/0211045 · pith_short_12: ZGLZUOQZKYMB · pith_short_16: ZGLZUOQZKYMBEZY4 · pith_short_8: ZGLZUOQZ

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/ZGLZUOQZKYMBEZY4GCSPDONH2B \
  | 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: c9979a3a19561812671c30a4f1b9a7d07a14d43196e20a90949b7cd16310fcb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4adb4ce8acafc6dbfd26df6a395ed6d920453f87127bd186ddca9554c83b1651",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-11-12T17:33:58Z",
    "title_canon_sha256": "e50544c3fb3d7ae08f4f03e3cd227b7e0732594c4608c3ac64fa7c7f949525e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0211045",
    "kind": "arxiv",
    "version": 2
  }
}