Pith Number

pith:A75JMTLX

pith:2015:A75JMTLX7E6MV5WJWB4R6LUHBB

not attested not anchored not stored refs pending

An overdetermined problem for the anisotropic capacity

Chiara Bianchini, Giulio Ciraolo, Paolo Salani

arxiv:1509.07640 v2 · 2015-09-25 · 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{A75JMTLX7E6MV5WJWB4R6LUHBB}

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	2026-05-18T01:19:53.566525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07fa964d77f93ccaf6c9b0791f2e87086d5ae42c580c36e4ab4801a8440fad59

Aliases

arxiv: 1509.07640 · arxiv_version: 1509.07640v2 · doi: 10.48550/arxiv.1509.07640 · pith_short_12: A75JMTLX7E6M · pith_short_16: A75JMTLX7E6MV5WJ · pith_short_8: A75JMTLX

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/A75JMTLX7E6MV5WJWB4R6LUHBB \
  | 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: 07fa964d77f93ccaf6c9b0791f2e87086d5ae42c580c36e4ab4801a8440fad59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79ba309292048569d8fc6c64794bbf4e886b62d4ef3ae96c4b47890fe95dbc46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-25T09:15:21Z",
    "title_canon_sha256": "b0640f32943444de0d9cfd8e8fa744f22bab9c45dc41e07bb2ce3a2844841e26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07640",
    "kind": "arxiv",
    "version": 2
  }
}