Pith Number

pith:XL2QXXDH

pith:2010:XL2QXXDHZABY4OYFMIOCJYACPX

not attested not anchored not stored refs pending

The region with trapped surfaces in spherical symmetry, its core, and their boundaries

Ingemar Bengtsson, Jos\'e M.M. Senovilla

arxiv:1009.0225 v4 · 2010-09-01 · 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{XL2QXXDHZABY4OYFMIOCJYACPX}

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	2026-05-18T04:28:29.664126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baf50bdc67c8038e3b05621c24e0027dec3defae5c4a06763f878f4ac3b25e19

Aliases

arxiv: 1009.0225 · arxiv_version: 1009.0225v4 · doi: 10.48550/arxiv.1009.0225 · pith_short_12: XL2QXXDHZABY · pith_short_16: XL2QXXDHZABY4OYF · pith_short_8: XL2QXXDH

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/XL2QXXDHZABY4OYFMIOCJYACPX \
  | 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: baf50bdc67c8038e3b05621c24e0027dec3defae5c4a06763f878f4ac3b25e19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b55aff8114457b14341c46946f01b6580a7a62d6679b887daf91e5469e1c0c46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-09-01T17:25:06Z",
    "title_canon_sha256": "0ecde81b92d63e45001e6d0cb700b50381244cc79681816cf7734f699631a1b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0225",
    "kind": "arxiv",
    "version": 4
  }
}