Pith Number

pith:22BEBYXG

pith:2015:22BEBYXGDWYLTP4MFCILNCI6LS

not attested not anchored not stored refs pending

On the zeros of random harmonic polynomials: the truncated model

Antonio Lerario, Erik Lundberg

arxiv:1507.01041 v2 · 2015-07-03 · math.CV · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22BEBYXGDWYLTP4MFCILNCI6LS}

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	2026-05-18T01:14:58.920181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d68240e2e61db0b9bf8c2890b6891e5c80a910352c285b2c67d095dd3cee070c

Aliases

arxiv: 1507.01041 · arxiv_version: 1507.01041v2 · doi: 10.48550/arxiv.1507.01041 · pith_short_12: 22BEBYXGDWYL · pith_short_16: 22BEBYXGDWYLTP4M · pith_short_8: 22BEBYXG

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/22BEBYXGDWYLTP4MFCILNCI6LS \
  | 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: d68240e2e61db0b9bf8c2890b6891e5c80a910352c285b2c67d095dd3cee070c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1cd89ce0eb8dc77045f30ade69c1f1ba8d2be363ebfec6ae12aba8c70930ee5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-07-03T22:16:32Z",
    "title_canon_sha256": "c98372da0db0a7be65d78015cc9f7dfaccfcb7d4bc34179d3f4b349907f52798"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01041",
    "kind": "arxiv",
    "version": 2
  }
}