Pith Number

pith:73OLK7OE

pith:2016:73OLK7OECI7XLCJB4PREYQN3NI

not attested not anchored not stored refs pending

Reduced functions and Jensen measures

Ivan Netuka, Wolfhard Hansen

arxiv:1611.01689 v2 · 2016-11-05 · 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{73OLK7OECI7XLCJB4PREYQN3NI}

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	2026-05-18T00:51:07.003082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fedcb57dc4123f758921e3e24c41bb6a29f539e9e0b2bdde75d2b60752ba73e2

Aliases

arxiv: 1611.01689 · arxiv_version: 1611.01689v2 · doi: 10.48550/arxiv.1611.01689 · pith_short_12: 73OLK7OECI7X · pith_short_16: 73OLK7OECI7XLCJB · pith_short_8: 73OLK7OE

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/73OLK7OECI7XLCJB4PREYQN3NI \
  | 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: fedcb57dc4123f758921e3e24c41bb6a29f539e9e0b2bdde75d2b60752ba73e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "065a7ecef5fe956e5d9cd14b1225673eac1713075f10e2cdaada69facaf314bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-05T19:03:51Z",
    "title_canon_sha256": "1e6b6ef2cbbd570bfb373f8cf0ef1bb66a43ed20d00d63b1b2a7772931eeecd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01689",
    "kind": "arxiv",
    "version": 2
  }
}