Pith Number

pith:CLDDCJ5K

pith:2004:CLDDCJ5KKGIK7L4PHZFDMKVX7G

not attested not anchored not stored refs pending

Dynamics of CP^1 lumps on a cylinder

Nuno M. Rom\~ao

arxiv:math-ph/0404008 v1 · 2004-04-02 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLDDCJ5KKGIK7L4PHZFDMKVX7G}

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	2026-05-18T04:24:15.228194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12c63127aa5190afaf8f3e4a362ab7f98398126e48816e444b79926c261eca94

Aliases

arxiv: math-ph/0404008 · arxiv_version: math-ph/0404008v1 · doi: 10.48550/arxiv.math-ph/0404008 · pith_short_12: CLDDCJ5KKGIK · pith_short_16: CLDDCJ5KKGIK7L4P · pith_short_8: CLDDCJ5K

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/CLDDCJ5KKGIK7L4PHZFDMKVX7G \
  | 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: 12c63127aa5190afaf8f3e4a362ab7f98398126e48816e444b79926c261eca94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddc36c8a2793bd757e55737c838b15dd1e717b50ee1a2ea3ea6b7c1b68ea2d2e",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-04-02T14:19:56Z",
    "title_canon_sha256": "25084a357c6f07324812c31ec41997e76075722a87999b3509f82beeece804b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0404008",
    "kind": "arxiv",
    "version": 1
  }
}