Pith Number

pith:FU42MJW5

pith:2010:FU42MJW5ZW7R6ABZ4P3I7OFUM6

not attested not anchored not stored refs pending

Asymptotic Safety, Singularities, and Gravitational Collapse

Behrouz Mirza, Roberto Casadio, Stephen D.H. Hsu

arxiv:1008.2768 v2 · 2010-08-16 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FU42MJW5ZW7R6ABZ4P3I7OFUM6}

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	2026-05-18T04:19:23.248854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d39a626ddcdbf1f0039e3f68fb8b4679831272127eaeb698b279c4d8a233d4c

Aliases

arxiv: 1008.2768 · arxiv_version: 1008.2768v2 · doi: 10.48550/arxiv.1008.2768 · pith_short_12: FU42MJW5ZW7R · pith_short_16: FU42MJW5ZW7R6ABZ · pith_short_8: FU42MJW5

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/FU42MJW5ZW7R6ABZ4P3I7OFUM6 \
  | 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: 2d39a626ddcdbf1f0039e3f68fb8b4679831272127eaeb698b279c4d8a233d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbbd2b01998d30cc319f6f3b2b023f52ba548a05da87ccd973b8f0fe10cf6f7a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-08-16T20:18:47Z",
    "title_canon_sha256": "56ed91e1a23f03549eaeb3649b80372747d0eb8473f4b03c63e6e245d1362785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2768",
    "kind": "arxiv",
    "version": 2
  }
}