Pith Number

pith:MGO3H2YC

pith:2017:MGO3H2YCA7CELTZPFDQR4ICMLJ

not attested not anchored not stored refs pending

Quantitative $C^1$-estimates by Bismut formulae

Anton Thalmaier, James Thompson, Li-Juan Cheng

arxiv:1707.07121 v6 · 2017-07-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGO3H2YCA7CELTZPFDQR4ICMLJ}

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	2026-05-18T00:24:30.979539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

619db3eb0207c445cf2f28e11e204c5a6621080f3749c441b39f4820fad1309b

Aliases

arxiv: 1707.07121 · arxiv_version: 1707.07121v6 · doi: 10.48550/arxiv.1707.07121 · pith_short_12: MGO3H2YCA7CE · pith_short_16: MGO3H2YCA7CELTZP · pith_short_8: MGO3H2YC

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/MGO3H2YCA7CELTZPFDQR4ICMLJ \
  | 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: 619db3eb0207c445cf2f28e11e204c5a6621080f3749c441b39f4820fad1309b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a11d680edf536f41dfa50e0edd2110cf3d7a51b33cf63ca2980cc7ef54590f6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-22T08:26:50Z",
    "title_canon_sha256": "f1137f0e4e00c99aeff8b4e3b35cf9d26c92186516ef0b9fbe664966b57cb589"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07121",
    "kind": "arxiv",
    "version": 6
  }
}