Pith Number

pith:6GTPGG77

pith:2025:6GTPGG77YV5HEK4F2FPIYYXKPI

not attested not anchored not stored refs pending

The spectral torsion for the one form rescaled Dirac operator

Jian Wang, Yong Wang

arxiv:2505.23319 v1 · 2025-05-29 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GTPGG77YV5HEK4F2FPIYYXKPI}

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	2026-07-05T11:11:59.423850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1a6f31bffc57a722b85d15e8c62ea7a304e4b9e1f1ab0dbe46e5aa405b11e3d

Aliases

arxiv: 2505.23319 · arxiv_version: 2505.23319v1 · doi: 10.48550/arxiv.2505.23319 · pith_short_12: 6GTPGG77YV5H · pith_short_16: 6GTPGG77YV5HEK4F · pith_short_8: 6GTPGG77

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/6GTPGG77YV5HEK4F2FPIYYXKPI \
  | 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: f1a6f31bffc57a722b85d15e8c62ea7a304e4b9e1f1ab0dbe46e5aa405b11e3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c3e7e315fd54747e72cd28cbd4ab938f1dbfdcfe776f44b66ff371bf8c16879",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-05-29T10:28:25Z",
    "title_canon_sha256": "84c13e5fe79f60fa08c2547094c859f842d51d4096606344b4af1407b6554109"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23319",
    "kind": "arxiv",
    "version": 1
  }
}