Pith Number

pith:ZPWWOKGV

pith:2021:ZPWWOKGVFVSWPHN45UX7PW2NPW

not attested not anchored not stored refs pending

Nature of Singularities in Vector-Tensor Theories of Gravity

V. H. Satheeshkumar

arxiv:2111.03066 v1 · 2021-11-04 · gr-qc · astro-ph.CO · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPWWOKGVFVSWPHN45UX7PW2NPW}

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	2026-07-05T05:36:29.455578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbed6728d52d65679dbced2ff7db4d7d80770deffdd077a98e4088d9136e0c2c

Aliases

arxiv: 2111.03066 · arxiv_version: 2111.03066v1 · doi: 10.48550/arxiv.2111.03066 · pith_short_12: ZPWWOKGVFVSW · pith_short_16: ZPWWOKGVFVSWPHN4 · pith_short_8: ZPWWOKGV

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/ZPWWOKGVFVSWPHN45UX7PW2NPW \
  | 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: cbed6728d52d65679dbced2ff7db4d7d80770deffdd077a98e4088d9136e0c2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8175c0f928ba5587c999b9729c6e5d4ee26be2d26a0504b261fd625f3c425409",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.HE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-11-04T16:41:20Z",
    "title_canon_sha256": "fe2a0f2c21db361c05c7827d5f25936c906489c8914b1423594d5977d7aa4643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.03066",
    "kind": "arxiv",
    "version": 1
  }
}