Pith Number

pith:7K45LXWB

pith:2012:7K45LXWBPGRE7BT5D4IOVPZFBQ

not attested not anchored not stored refs pending

Prepotential approach to systems with dynamical symmetries

Fu-Lin Zhang, Jing-Ling Chen, L. C. Kwek, Yan Li

arxiv:1211.1532 v1 · 2012-11-07 · quant-ph · math-ph · 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{7K45LXWBPGRE7BT5D4IOVPZFBQ}

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	2026-05-18T03:41:20.791065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fab9d5dec179a24f867d1f10eabf250c31d1738acaeb6daf042ceff0b25f9d53

Aliases

arxiv: 1211.1532 · arxiv_version: 1211.1532v1 · doi: 10.48550/arxiv.1211.1532 · pith_short_12: 7K45LXWBPGRE · pith_short_16: 7K45LXWBPGRE7BT5 · pith_short_8: 7K45LXWB

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/7K45LXWBPGRE7BT5D4IOVPZFBQ \
  | 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: fab9d5dec179a24f867d1f10eabf250c31d1738acaeb6daf042ceff0b25f9d53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c71896ba6b0c5578a6fee3d168c98fbf718485ad03b2361fca68c2ade66c4b44",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-11-07T12:54:21Z",
    "title_canon_sha256": "8c2132a4e6e532832b1dd4dd882619322cf61d6ebe117cb9c4a1b9ce1fce8b70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1532",
    "kind": "arxiv",
    "version": 1
  }
}