Pith Number

pith:I6OXRHQY

pith:2000:I6OXRHQY3IBAJ73ZT6TQA4NMHX

not attested not anchored not stored refs pending

Analogues of Lehmer's conjecture in positive characteristic

Amilcar Pacheco

arxiv:math/0011102 v6 · 2000-11-15 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6OXRHQY3IBAJ73ZT6TQA4NMHX}

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	2026-05-18T01:05:38.103192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

479d789e18da0204ff799fa70071ac3de0eff4abd90ce8ffe5798752c5ee7beb

Aliases

arxiv: math/0011102 · arxiv_version: math/0011102v6 · doi: 10.48550/arxiv.math/0011102 · pith_short_12: I6OXRHQY3IBA · pith_short_16: I6OXRHQY3IBAJ73Z · pith_short_8: I6OXRHQY

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/I6OXRHQY3IBAJ73ZT6TQA4NMHX \
  | 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: 479d789e18da0204ff799fa70071ac3de0eff4abd90ce8ffe5798752c5ee7beb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a9f168d452b618c8cc4ef0adb4717de3edf8da7d6f7fd37cd61d5cac2df7c59",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2000-11-15T19:19:30Z",
    "title_canon_sha256": "affff4672af64f4217887661607d77f91c3869c3578b29211df78f03b975ab97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0011102",
    "kind": "arxiv",
    "version": 6
  }
}