Pith Number

pith:VGUWTMGG

pith:2001:VGUWTMGGLFQHYGU6GOHWSYMPIR

not attested not anchored not stored refs pending

Ultralight Scalars and Spiral Galaxies

Gia Dvali, Gregory Gabadadze, M. Shifman

arxiv:astro-ph/0102422 v2 · 2001-02-23 · astro-ph · 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{VGUWTMGGLFQHYGU6GOHWSYMPIR}

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	2026-07-04T16:22:46.701695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9a969b0c659607c1a9e338f69618f44685151c1be0ddb16cc2d4f7d2dca593f

Aliases

arxiv: astro-ph/0102422 · arxiv_version: astro-ph/0102422v2 · doi: 10.48550/arxiv.astro-ph/0102422 · pith_short_12: VGUWTMGGLFQH · pith_short_16: VGUWTMGGLFQHYGU6 · pith_short_8: VGUWTMGG

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/VGUWTMGGLFQHYGU6GOHWSYMPIR \
  | 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: a9a969b0c659607c1a9e338f69618f44685151c1be0ddb16cc2d4f7d2dca593f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29e7fac4a95d8e0340db756705d1ed03ac331749790ab7169f7e96e434583802",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-02-23T22:14:09Z",
    "title_canon_sha256": "17015dee6b86160cb6f83b586bd8da2af22de272c4baf60b3384c23c992f90c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0102422",
    "kind": "arxiv",
    "version": 2
  }
}