Pith Number

pith:4PHAGRGT

pith:2012:4PHAGRGTRIYOG67GXO6YKAKPAP

not attested not anchored not stored refs pending

Coordinate families for the Schwarzschild geometry based on radial timelike geodesics

Tehani K. Finch

arxiv:1211.4337 v2 · 2012-11-19 · 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{4PHAGRGTRIYOG67GXO6YKAKPAP}

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.

Cited by

1 paper in Pith

Holographic pressure and volume for black holes

Receipt and verification

First computed	2026-05-18T01:46:39.203001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ce0344d38a30e37be6bbbd85014f03cc8b803c920db6f8698a335203a249cd

Aliases

arxiv: 1211.4337 · arxiv_version: 1211.4337v2 · doi: 10.48550/arxiv.1211.4337 · pith_short_12: 4PHAGRGTRIYO · pith_short_16: 4PHAGRGTRIYOG67G · pith_short_8: 4PHAGRGT

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/4PHAGRGTRIYOG67GXO6YKAKPAP \
  | 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: e3ce0344d38a30e37be6bbbd85014f03cc8b803c920db6f8698a335203a249cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cfc4696382b72dd1afedbbc0889e9d188b31aff82b6e5dc86f68d5bfd60aa73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-11-19T09:05:09Z",
    "title_canon_sha256": "df6e67dffebdf7ef166e8061a45920f05e9692cc8915716777cb3d99de0b1c4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4337",
    "kind": "arxiv",
    "version": 2
  }
}