Pith Number

pith:3YVDFDGO

pith:2007:3YVDFDGOUHD6U7G3LPFBUWI2VG

not attested not anchored not stored refs pending

Self-gravitating radiation in AdS(d)

Vladislav Vaganov

arxiv:0707.0864 v4 · 2007-07-05 · 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{3YVDFDGOUHD6U7G3LPFBUWI2VG}

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	2026-07-04T15:03:24.171754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de2a328ccea1c7ea7cdb5bca1a591aa9a8ff460b53244c6f2aa46ed32924b42f

Aliases

arxiv: 0707.0864 · arxiv_version: 0707.0864v4 · doi: 10.48550/arxiv.0707.0864 · pith_short_12: 3YVDFDGOUHD6 · pith_short_16: 3YVDFDGOUHD6U7G3 · pith_short_8: 3YVDFDGO

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/3YVDFDGOUHD6U7G3LPFBUWI2VG \
  | 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: de2a328ccea1c7ea7cdb5bca1a591aa9a8ff460b53244c6f2aa46ed32924b42f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e1a7f04a1bffc0bbce629fb9989f948dda2e47fa0649baabc6aa19a9769075b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-07-05T19:59:30Z",
    "title_canon_sha256": "4ec8275cbac68f08cb9aa220b2a638574875c06ec7477b9a65c261026c6be575"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0864",
    "kind": "arxiv",
    "version": 4
  }
}