Pith Number

pith:HPDDNGKQ

pith:2016:HPDDNGKQWEEGN4OTP5LKW7HUN2

not attested not anchored not stored refs pending

Spatially inhomogeneous and irrotational geometries admitting Intrinsic Conformal Symmetries

Pantelis S. Apostolopoulos

arxiv:1612.01853 v3 · 2016-12-06 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPDDNGKQWEEGN4OTP5LKW7HUN2}

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	2026-05-18T00:53:24.996897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bc6369950b10866f1d37f56ab7cf46e957744112e7f53e6a04275c5f1e18b41

Aliases

arxiv: 1612.01853 · arxiv_version: 1612.01853v3 · doi: 10.48550/arxiv.1612.01853 · pith_short_12: HPDDNGKQWEEG · pith_short_16: HPDDNGKQWEEGN4OT · pith_short_8: HPDDNGKQ

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/HPDDNGKQWEEGN4OTP5LKW7HUN2 \
  | 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: 3bc6369950b10866f1d37f56ab7cf46e957744112e7f53e6a04275c5f1e18b41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e112032c84b5449de50a2ab216ad9be7896eb966b3e43a84c38f10cca3b3cb0",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-12-06T15:19:39Z",
    "title_canon_sha256": "db520762a676299890aed61649e49c202c8a9dc64ae7b807d531c3985b2e4362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01853",
    "kind": "arxiv",
    "version": 3
  }
}