Pith Number

pith:VOIPV2UM

pith:2018:VOIPV2UM4MQRFOM762WAVX2OU6

not attested not anchored not stored refs pending

An integral that counts the zeros of a function

Micha Wasem, Norbert Hungerb\"uhler

arxiv:1808.09690 v2 · 2018-08-29 · 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{VOIPV2UM4MQRFOM762WAVX2OU6}

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	2026-05-17T23:53:50.892862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab90faea8ce32112b99ff6ac0adf4ea7a4e59d8df3fc63e9b2ea0ca4e87430c3

Aliases

arxiv: 1808.09690 · arxiv_version: 1808.09690v2 · doi: 10.48550/arxiv.1808.09690 · pith_short_12: VOIPV2UM4MQR · pith_short_16: VOIPV2UM4MQRFOM7 · pith_short_8: VOIPV2UM

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/VOIPV2UM4MQRFOM762WAVX2OU6 \
  | 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: ab90faea8ce32112b99ff6ac0adf4ea7a4e59d8df3fc63e9b2ea0ca4e87430c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33a86718299adb7f8d0e89bc86d8cea001edfc76cbafe965dba8dd36be86fa18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-08-29T08:57:19Z",
    "title_canon_sha256": "465326763e6721c8dc019f312bdaa4aea2874c12ed8b3fc84cb39b1db8cdc904"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09690",
    "kind": "arxiv",
    "version": 2
  }
}