Pith Number

pith:PHXUF2XQ

pith:2012:PHXUF2XQ4VZQBH6LSDLIBBOJMO

not attested not anchored not stored refs pending

On the invariant causal characterization of singularities in spherically symmetric spacetimes

Francesc Fayos, Ramon Torres

arxiv:1204.4316 v1 · 2012-04-19 · 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{PHXUF2XQ4VZQBH6LSDLIBBOJMO}

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	2026-05-18T03:57:27.791208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79ef42eaf0e573009fcb90d68085c9638c2307ff9b8e6a99de375dcfe725e554

Aliases

arxiv: 1204.4316 · arxiv_version: 1204.4316v1 · doi: 10.48550/arxiv.1204.4316 · pith_short_12: PHXUF2XQ4VZQ · pith_short_16: PHXUF2XQ4VZQBH6L · pith_short_8: PHXUF2XQ

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/PHXUF2XQ4VZQBH6LSDLIBBOJMO \
  | 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: 79ef42eaf0e573009fcb90d68085c9638c2307ff9b8e6a99de375dcfe725e554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ed131ff818e382209949346c80526b2cbcadd7d79faf3b10ee375237c98088c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-04-19T11:30:04Z",
    "title_canon_sha256": "f46e1a3d7c032fb2ea2254086ff7242f60baf50b52cee4ab6a952cbc619ce085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4316",
    "kind": "arxiv",
    "version": 1
  }
}