Pith Number

pith:DKROGNZX

pith:2011:DKROGNZXK6TZK7PRN3NIKRDRFY

not attested not anchored not stored refs pending

Spacetimes with Singularities

Ovidiu Cristinel Stoica

arxiv:1108.5099 v4 · 2011-08-25 · math.DG · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKROGNZXK6TZK7PRN3NIKRDRFY}

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	2026-05-18T03:12:58.157555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aa2e3373757a7957df16eda8544712e329e6b74eabfa4bb3e575297fa5f7fe4

Aliases

arxiv: 1108.5099 · arxiv_version: 1108.5099v4 · doi: 10.48550/arxiv.1108.5099 · pith_short_12: DKROGNZXK6TZ · pith_short_16: DKROGNZXK6TZK7PR · pith_short_8: DKROGNZX

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/DKROGNZXK6TZK7PRN3NIKRDRFY \
  | 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: 1aa2e3373757a7957df16eda8544712e329e6b74eabfa4bb3e575297fa5f7fe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46d5b8abe490061d635fdd0fffbb23b90684dc48185963b603c256361052a0be",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-25T14:32:16Z",
    "title_canon_sha256": "99e14b9808031efeb0f231b599aced8fa2c2ac61e2b73e573b2db57814fc4afd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5099",
    "kind": "arxiv",
    "version": 4
  }
}