Pith Number

pith:2IRT55TG

pith:2007:2IRT55TGHAJGT4B6I42643DXSV

not attested not anchored not stored refs pending

Gauge Variant Symmetries for the Schr\"odinger Equation

M. C. Nucci, P. G. L. Leach

arxiv:0709.3389 v1 · 2007-09-21 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2IRT55TGHAJGT4B6I42643DXSV}

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	2026-05-18T02:16:11.099807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2233ef666381269f03e4735ee6c7795599569bc33d4e2cf9ba56022e58756f9

Aliases

arxiv: 0709.3389 · arxiv_version: 0709.3389v1 · doi: 10.48550/arxiv.0709.3389 · pith_short_12: 2IRT55TGHAJG · pith_short_16: 2IRT55TGHAJGT4B6 · pith_short_8: 2IRT55TG

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/2IRT55TGHAJGT4B6I42643DXSV \
  | 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: d2233ef666381269f03e4735ee6c7795599569bc33d4e2cf9ba56022e58756f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "713689ccbf9b6d9e0cf092ff18b5b04cf0becd48e3bf38e4b758163c88564e8e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.SI",
    "submitted_at": "2007-09-21T10:02:18Z",
    "title_canon_sha256": "769a39dd905d3037c21956be661246c248e65032993b76cf54573902851f983d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3389",
    "kind": "arxiv",
    "version": 1
  }
}