Pith Number

pith:467ORDVK

pith:2011:467ORDVKRBMO7IAS2PN7FRZTL2

not attested not anchored not stored refs pending

Energy Estimates and Gravitational Collapse

Pin Yu

arxiv:1105.2630 v1 · 2011-05-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{467ORDVKRBMO7IAS2PN7FRZTL2}

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	2026-05-18T02:01:58.717855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7bee88eaa8858efa012d3dbf2c7335ebe583552c2cf94d680b962ca19870da6

Aliases

arxiv: 1105.2630 · arxiv_version: 1105.2630v1 · doi: 10.48550/arxiv.1105.2630 · pith_short_12: 467ORDVKRBMO · pith_short_16: 467ORDVKRBMO7IAS · pith_short_8: 467ORDVK

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/467ORDVKRBMO7IAS2PN7FRZTL2 \
  | 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: e7bee88eaa8858efa012d3dbf2c7335ebe583552c2cf94d680b962ca19870da6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0b7b319216be277facd45396059b86697105260be870350260275543ac26891",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-13T07:35:15Z",
    "title_canon_sha256": "c237b7de66cc48a847b89219e8a93400d28629a63b716152659eb02d0e592532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2630",
    "kind": "arxiv",
    "version": 1
  }
}