Pith Number

pith:AZUJ7E2I

pith:2013:AZUJ7E2IUSRRCYJNTDB2PQJ6QH

not attested not anchored not stored refs pending

Level sets of the lapse function in static GR

Carla Cederbaum

arxiv:1309.5157 v3 · 2013-09-20 · 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{AZUJ7E2IUSRRCYJNTDB2PQJ6QH}

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	2026-05-18T01:39:55.403792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06689f9348a4a311612d98c3a7c13e81f6b85f416a48dfe026c903f184850898

Aliases

arxiv: 1309.5157 · arxiv_version: 1309.5157v3 · doi: 10.48550/arxiv.1309.5157 · pith_short_12: AZUJ7E2IUSRR · pith_short_16: AZUJ7E2IUSRRCYJN · pith_short_8: AZUJ7E2I

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/AZUJ7E2IUSRRCYJNTDB2PQJ6QH \
  | 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: 06689f9348a4a311612d98c3a7c13e81f6b85f416a48dfe026c903f184850898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad786a597f9bfc5feba4e22e2f242ab38bca4428937c6ec773791fef246029d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-09-20T02:25:21Z",
    "title_canon_sha256": "dff6b9d29e8dd2807bccab86d1f20d2e15042fb34fac13f0798a1085926e3858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5157",
    "kind": "arxiv",
    "version": 3
  }
}