Pith Number

pith:HZGU4HYU

pith:2011:HZGU4HYUDVWZPLVG66XAEG57MA

not attested not anchored not stored refs pending

Umbilical-Type Surfaces in Spacetime

Jos\'e M. M. Senovilla

arxiv:1111.6910 v3 · 2011-11-29 · 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{HZGU4HYUDVWZPLVG66XAEG57MA}

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.

Cited by

1 paper in Pith

Massive particle surfaces and black hole shadows from intrinsic curvature

Receipt and verification

First computed	2026-05-18T03:57:37.004621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e4d4e1f141d6d97aea6f7ae021bbf600658462019c5dead0ec2f87227d0106b

Aliases

arxiv: 1111.6910 · arxiv_version: 1111.6910v3 · doi: 10.48550/arxiv.1111.6910 · pith_short_12: HZGU4HYUDVWZ · pith_short_16: HZGU4HYUDVWZPLVG · pith_short_8: HZGU4HYU

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/HZGU4HYUDVWZPLVG66XAEG57MA \
  | 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: 3e4d4e1f141d6d97aea6f7ae021bbf600658462019c5dead0ec2f87227d0106b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56e707e62d1ea7f41c8a4ac7f454b97733104ab839b52d915fbb6c9f409e73ed",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-29T17:30:02Z",
    "title_canon_sha256": "d2c0d7d2bac427c001b6aca14646285496b1113a53b36bd9041df6cf3d4ba12b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6910",
    "kind": "arxiv",
    "version": 3
  }
}