Pith Number

pith:FTOTJPPE

pith:2021:FTOTJPPESJMUW3VW74O2VPJUO4

not attested not anchored not stored refs pending

Free fermions, KdV charges, generalised Gibbs ensembles and modular transforms

Gerard M. T. Watts, Max Downing

arxiv:2111.13950 v4 · 2021-11-27 · hep-th · 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{FTOTJPPESJMUW3VW74O2VPJUO4}

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.

Cited by

1 paper in Pith

Modular Properties of Symplectic Fermion Generalised Gibbs Ensemble

Receipt and verification

First computed	2026-07-05T07:14:49.297740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cdd34bde492594b6eb6ff1daabd3477303e1a17824046351f56d24fad418d2a

Aliases

arxiv: 2111.13950 · arxiv_version: 2111.13950v4 · doi: 10.48550/arxiv.2111.13950 · pith_short_12: FTOTJPPESJMU · pith_short_16: FTOTJPPESJMUW3VW · pith_short_8: FTOTJPPE

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/FTOTJPPESJMUW3VW74O2VPJUO4 \
  | 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: 2cdd34bde492594b6eb6ff1daabd3477303e1a17824046351f56d24fad418d2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e8350d5b6483fe8580b5d1f8f697abb97cd58531d6c1d835ac910ecee37d2f0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-11-27T17:49:04Z",
    "title_canon_sha256": "b2bd0a0b196dcbf3ee5cc115d2d2f8551be9be6bdbad0c8b42c25355fc598aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.13950",
    "kind": "arxiv",
    "version": 4
  }
}