Pith Number

pith:JF45V3XN

pith:1998:JF45V3XNCRWZOAJM45PZEMIFWA

not attested not anchored not stored refs pending

Collective coordinates, shape transitions and shape coexistence: a microscopic approach

Niels R. Walet, Takashi Nakatsukasa

arxiv:nucl-th/9807078 v1 · 1998-07-30 · nucl-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{JF45V3XNCRWZOAJM45PZEMIFWA}

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	2026-07-04T15:23:28.952809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4979daeeed146d97012ce75f923105b03f062c4773a3f8ad68553ef5fc53c0ad

Aliases

arxiv: nucl-th/9807078 · arxiv_version: nucl-th/9807078v1 · doi: 10.48550/arxiv.nucl-th/9807078 · pith_short_12: JF45V3XNCRWZ · pith_short_16: JF45V3XNCRWZOAJM · pith_short_8: JF45V3XN

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/JF45V3XNCRWZOAJM45PZEMIFWA \
  | 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: 4979daeeed146d97012ce75f923105b03f062c4773a3f8ad68553ef5fc53c0ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9123578c7a8ebae5d7c8266eb2707712eb0c00f908b38635ed44cc3063c9a8e8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nucl-th",
    "submitted_at": "1998-07-30T21:24:45Z",
    "title_canon_sha256": "d51b29b3774441463a73b1f95afc05ab35b2edc628dee043f5f24adb801e3c92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nucl-th/9807078",
    "kind": "arxiv",
    "version": 1
  }
}