Pith Number

pith:AU52UPTJ

pith:2012:AU52UPTJHRPHELGCMOF3UQUXV7

not attested not anchored not stored refs pending

Cauchy non-integral formulas

Andreas Ros\'en

arxiv:1210.7580 v1 · 2012-10-29 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AU52UPTJHRPHELGCMOF3UQUXV7}

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	2026-05-18T03:42:09.484430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

053baa3e693c5e722cc2638bba4297afd3c64c491548cb642e840529771f5183

Aliases

arxiv: 1210.7580 · arxiv_version: 1210.7580v1 · doi: 10.48550/arxiv.1210.7580 · pith_short_12: AU52UPTJHRPH · pith_short_16: AU52UPTJHRPHELGC · pith_short_8: AU52UPTJ

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/AU52UPTJHRPHELGCMOF3UQUXV7 \
  | 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: 053baa3e693c5e722cc2638bba4297afd3c64c491548cb642e840529771f5183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a2ee6ea3a7d0c57a26107c385019e83ffd1a32f38cbe519332b0bfd7d885650",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-29T07:40:37Z",
    "title_canon_sha256": "c9f6288bf38e607ed66fef977a1e266fda7c49cd4b4a06ab76a35af347d8a085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7580",
    "kind": "arxiv",
    "version": 1
  }
}