Pith Number

pith:3GXALK2Q

pith:2011:3GXALK2QG7XYSVJWIAJWO54UHQ

not attested not anchored not stored refs pending

Exotic Smoothness and Quantum Gravity II: exotic R^4, singularities and cosmology

J. Krol, T. Asselmeyer-Maluga

arxiv:1112.4882 v2 · 2011-12-20 · gr-qc · hep-th · math-ph · math.GT · 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{3GXALK2QG7XYSVJWIAJWO54UHQ}

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	2026-05-18T04:04:18.534247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9ae05ab5037ef89553640136777943c25388de1def51898d2b3d5ba3d60bd5e

Aliases

arxiv: 1112.4882 · arxiv_version: 1112.4882v2 · doi: 10.48550/arxiv.1112.4882 · pith_short_12: 3GXALK2QG7XY · pith_short_16: 3GXALK2QG7XYSVJW · pith_short_8: 3GXALK2Q

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/3GXALK2QG7XYSVJWIAJWO54UHQ \
  | 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: d9ae05ab5037ef89553640136777943c25388de1def51898d2b3d5ba3d60bd5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "352f948dfa2009fbe807900d53e1262556490731cb8124ad276e427aafb59e0b",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-12-20T23:27:17Z",
    "title_canon_sha256": "36e396db2e3a94dd99447c9352e9e39cecfd6affb2eb9880025717557c2902d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4882",
    "kind": "arxiv",
    "version": 2
  }
}