Pith Number

pith:4RF6QCDG

pith:2011:4RF6QCDGFKX5732JDSS3HOPFI7

not attested not anchored not stored refs pending

Trapped and marginally trapped surfaces in Weyl-distorted Schwarzschild solutions

Alexandre Melanson, Ivan Booth, Joseph Fitzgerald, Terry Pilkington

arxiv:1102.0999 v2 · 2011-02-04 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4RF6QCDGFKX5732JDSS3HOPFI7}

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	2026-05-18T02:22:40.479860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e44be808662aafdfef491ca5b3b9e547fa06ce655ec61ed23c75fc073466927a

Aliases

arxiv: 1102.0999 · arxiv_version: 1102.0999v2 · doi: 10.48550/arxiv.1102.0999 · pith_short_12: 4RF6QCDGFKX5 · pith_short_16: 4RF6QCDGFKX5732J · pith_short_8: 4RF6QCDG

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/4RF6QCDGFKX5732JDSS3HOPFI7 \
  | 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: e44be808662aafdfef491ca5b3b9e547fa06ce655ec61ed23c75fc073466927a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28dd4801f05c7c444a1ada0e36f04a9d0a81a2265936774b0853ecb83fc2c743",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-02-04T19:33:33Z",
    "title_canon_sha256": "97a8e4ad8c99218bd50d42cb2659fb39898d7db1b5d1fc36c1434b708c329995"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0999",
    "kind": "arxiv",
    "version": 2
  }
}