Pith Number

pith:3TDRJ6BI

pith:2012:3TDRJ6BIERBLRIVIPJQDVCXNXZ

not attested not anchored not stored refs pending

Topology Change of Spacetime and Resolution of Spacetime Singularity in Emergent Gravity

Hyun Seok Yang, Raju Roychowdhury, Sunggeun Lee

arxiv:1212.3000 v3 · 2012-12-12 · hep-th · 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{3TDRJ6BIERBLRIVIPJQDVCXNXZ}

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	2026-05-18T03:21:33.565433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcc714f8282442b8a2a87a603a8aedbe5caebd8ac44d22a7160afd66f5c90ad1

Aliases

arxiv: 1212.3000 · arxiv_version: 1212.3000v3 · doi: 10.48550/arxiv.1212.3000 · pith_short_12: 3TDRJ6BIERBL · pith_short_16: 3TDRJ6BIERBLRIVI · pith_short_8: 3TDRJ6BI

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/3TDRJ6BIERBLRIVIPJQDVCXNXZ \
  | 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: dcc714f8282442b8a2a87a603a8aedbe5caebd8ac44d22a7160afd66f5c90ad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50ef8ad059e3300de5320ca0d7299aa98bc48d75d9682b3f58ed48165e64b5b6",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-12-12T22:06:56Z",
    "title_canon_sha256": "e91c50254635beb98b8c40d9e3c5e83856a7df66b474724a6f5d9edbda98bb86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3000",
    "kind": "arxiv",
    "version": 3
  }
}