Pith Number

pith:GBBGPB3D

pith:2012:GBBGPB3D62M52GZCRL6DEOWO4H

not attested not anchored not stored refs pending

Accelerated Expansion from Negative \Lambda

James B. Hartle, S. W. Hawking, Thomas Hertog

arxiv:1205.3807 v3 · 2012-05-16 · hep-th · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBBGPB3D62M52GZCRL6DEOWO4H}

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	2026-05-18T03:49:47.026016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3042678763f699dd1b228afc323acee1cca20aab044ffed874e5a3a3d5a1434f

Aliases

arxiv: 1205.3807 · arxiv_version: 1205.3807v3 · doi: 10.48550/arxiv.1205.3807 · pith_short_12: GBBGPB3D62M5 · pith_short_16: GBBGPB3D62M52GZC · pith_short_8: GBBGPB3D

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/GBBGPB3D62M52GZCRL6DEOWO4H \
  | 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: 3042678763f699dd1b228afc323acee1cca20aab044ffed874e5a3a3d5a1434f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cf7b18eb7c6982b2f775cd59805dcab17e4dba64230d415cca405c093dd03fe",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-05-16T20:46:58Z",
    "title_canon_sha256": "2cc628f8a5007a1f46ee382c7870a08b38cb7d897309f1696bd23c69efe7321c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3807",
    "kind": "arxiv",
    "version": 3
  }
}