Pith Number

pith:7DON3MUH

pith:2001:7DON3MUHCN6G5DGVCLLUN6YPA6

not attested not anchored not stored refs pending

The evolution and persistence of dumbbells

Ana Achucarro, Andrew R. Liddle, Jon Urrestilla, Julian Borrill

arxiv:hep-ph/0106282 v3 · 2001-06-25 · hep-ph · 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{7DON3MUHCN6G5DGVCLLUN6YPA6}

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	2026-05-18T02:36:46.622335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8dcddb287137c6e8cd512d746fb0f07b85b101c761a8e287c315f753357df20

Aliases

arxiv: hep-ph/0106282 · arxiv_version: hep-ph/0106282v3 · doi: 10.48550/arxiv.hep-ph/0106282 · pith_short_12: 7DON3MUHCN6G · pith_short_16: 7DON3MUHCN6G5DGV · pith_short_8: 7DON3MUH

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/7DON3MUHCN6G5DGVCLLUN6YPA6 \
  | 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: f8dcddb287137c6e8cd512d746fb0f07b85b101c761a8e287c315f753357df20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a45228e530e8711bccecf3fd1cf43bb5b173a9221fa0175685d08076001f7c03",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-06-25T23:51:10Z",
    "title_canon_sha256": "41e871b38df2937c11f09a35104bfd52de83e06a5eeda8a1c972ecc935656166"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0106282",
    "kind": "arxiv",
    "version": 3
  }
}