Pith Number

pith:4BWJ5GPK

pith:2010:4BWJ5GPKP2EDZTZ4DOQYTYUX6V

not attested not anchored not stored refs pending

Asymptotic Safety, Asymptotic Darkness, and the hoop conjecture in the extreme UV

David Mattingly, Sayandeb Basu

arxiv:1006.0718 v2 · 2010-06-03 · hep-th · 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{4BWJ5GPKP2EDZTZ4DOQYTYUX6V}

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	2026-05-18T04:31:11.713944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e06c9e99ea7e883ccf3c1ba189e297f5772dae1cc65aca164aa7ab10334358d2

Aliases

arxiv: 1006.0718 · arxiv_version: 1006.0718v2 · doi: 10.48550/arxiv.1006.0718 · pith_short_12: 4BWJ5GPKP2ED · pith_short_16: 4BWJ5GPKP2EDZTZ4 · pith_short_8: 4BWJ5GPK

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/4BWJ5GPKP2EDZTZ4DOQYTYUX6V \
  | 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: e06c9e99ea7e883ccf3c1ba189e297f5772dae1cc65aca164aa7ab10334358d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfb4f90d8b0f9ad22174e3e657368d3375a6f55c36088e292083392744c389c9",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-06-03T19:11:36Z",
    "title_canon_sha256": "aaa814e935399c16691219b205738a5ee01732a426c37fb08622780f8581bb01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0718",
    "kind": "arxiv",
    "version": 2
  }
}