Pith Number

pith:3FO4THTQ

pith:2010:3FO4THTQIVJOSPA5EFNMVEX2GR

not attested not anchored not stored refs pending

A Reilly formula and eigenvalue estimates for differential forms

Alessandro Savo (MeMoMat), Simon Raulot (LMRS)

arxiv:1003.0817 v1 · 2010-03-03 · 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{3FO4THTQIVJOSPA5EFNMVEX2GR}

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	2026-05-18T04:02:13.822517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d95dc99e704552e93c1d215aca92fa3473cbbeb701fc9b3f43a981a651a29f44

Aliases

arxiv: 1003.0817 · arxiv_version: 1003.0817v1 · doi: 10.48550/arxiv.1003.0817 · pith_short_12: 3FO4THTQIVJO · pith_short_16: 3FO4THTQIVJOSPA5 · pith_short_8: 3FO4THTQ

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/3FO4THTQIVJOSPA5EFNMVEX2GR \
  | 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: d95dc99e704552e93c1d215aca92fa3473cbbeb701fc9b3f43a981a651a29f44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aa46cbf6d7315b1d8a71c7e8dcdbc33c4112355e4af92d7122f5919b5f9eee2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-03-03T14:16:36Z",
    "title_canon_sha256": "48b07684912db0848d850fbb2d9dc02f5f02539163a8e742ba01204f8bd0d3c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0817",
    "kind": "arxiv",
    "version": 1
  }
}