Pith Number

pith:65GD2EHA

pith:2013:65GD2EHA3BNDTUCAXTSFN5R444

not attested not anchored not stored refs pending

Cosmological singularities in Bakry-\'Emery spacetimes

Eric Woolgar, Gregory J. Galloway

arxiv:1312.3410 v4 · 2013-12-12 · math.DG · 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{65GD2EHA3BNDTUCAXTSFN5R444}

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	2026-05-18T01:29:11.718682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f74c3d10e0d85a39d040bce456f63ce72ffc4e2fd945207e96d26285bbfc0540

Aliases

arxiv: 1312.3410 · arxiv_version: 1312.3410v4 · doi: 10.48550/arxiv.1312.3410 · pith_short_12: 65GD2EHA3BND · pith_short_16: 65GD2EHA3BNDTUCA · pith_short_8: 65GD2EHA

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/65GD2EHA3BNDTUCAXTSFN5R444 \
  | 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: f74c3d10e0d85a39d040bce456f63ce72ffc4e2fd945207e96d26285bbfc0540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad6d9fe091db9edc871c3555eb9c44f1542ae32c6dfc485471a9e76ef4d70265",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-12T07:32:21Z",
    "title_canon_sha256": "f2c98eb4a246c1bfd688191ca3197908d70641fc3facb843491a2c0e23a52b4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3410",
    "kind": "arxiv",
    "version": 4
  }
}