Pith Number

pith:FQF7DART

pith:2018:FQF7DARTZA3WW2ARVVXZLWEP7W

not attested not anchored not stored refs pending

The asymptotics of the $L^2$-curvature and the second variation of analytic torsion on Teichm\"uller space

Genkai Zhang, Xueyuan Wan

arxiv:1804.00464 v1 · 2018-04-02 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQF7DARTZA3WW2ARVVXZLWEP7W}

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	2026-05-18T00:19:37.106230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c0bf18233c8376b6811ad6f95d88ffd8aee05b142a05fd22c0c5b79f1ef3744

Aliases

arxiv: 1804.00464 · arxiv_version: 1804.00464v1 · doi: 10.48550/arxiv.1804.00464 · pith_short_12: FQF7DARTZA3W · pith_short_16: FQF7DARTZA3WW2AR · pith_short_8: FQF7DART

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/FQF7DARTZA3WW2ARVVXZLWEP7W \
  | 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: 2c0bf18233c8376b6811ad6f95d88ffd8aee05b142a05fd22c0c5b79f1ef3744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62f6eb5d1c7add0cfaff96bce72ab74b17259a553ac1e07e88aae51d0dbdf3fa",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-04-02T11:59:30Z",
    "title_canon_sha256": "06146a66a0e882cc62e532093e29d7b2d4429488d2a7e5fb18bffc18a584508e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00464",
    "kind": "arxiv",
    "version": 1
  }
}