Pith Number

pith:PDN7VT6A

pith:2016:PDN7VT6A4N2RJEP4S4GMASGIFA

not attested not anchored not stored refs pending

Harmonic measure on sets of codimension larger than one

Guy David, Joseph Feneuil, Svitlana Mayboroda

arxiv:1608.01395 v1 · 2016-08-03 · 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{PDN7VT6A4N2RJEP4S4GMASGIFA}

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	2026-05-18T01:09:52.604456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78dbfacfc0e3751491fc970cc048c82817652a2206c53070957fdff023fd799e

Aliases

arxiv: 1608.01395 · arxiv_version: 1608.01395v1 · doi: 10.48550/arxiv.1608.01395 · pith_short_12: PDN7VT6A4N2R · pith_short_16: PDN7VT6A4N2RJEP4 · pith_short_8: PDN7VT6A

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/PDN7VT6A4N2RJEP4S4GMASGIFA \
  | 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: 78dbfacfc0e3751491fc970cc048c82817652a2206c53070957fdff023fd799e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b8ec33ec573b3723b22bbcd57bfd4792dd83fcca9536db8845f97d61a4c24fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-03T23:25:33Z",
    "title_canon_sha256": "b24300917c69770cdce19ec7feae93e31e37c7ee00133d24ff2e2db86942e57d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01395",
    "kind": "arxiv",
    "version": 1
  }
}