Pith Number

pith:WUJNIHDP

pith:2007:WUJNIHDPG54EK5WAPS7MUJ7N45

not attested not anchored not stored refs pending

On the number of minima of a random polynomial

Gregorio Malajovich, Jean-Pierre Dedieu

arxiv:math/0702360 v2 · 2007-02-13 · math.NA · cs.NA · math.OC · 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{WUJNIHDPG54EK5WAPS7MUJ7N45}

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	2026-06-03T22:06:22.071645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b512d41c6f37784576c07cbeca27ede77ad0a0aab804f8d797f17fa6c8bcfc0e

Aliases

arxiv: math/0702360 · arxiv_version: math/0702360v2 · doi: 10.48550/arxiv.math/0702360 · pith_short_12: WUJNIHDPG54E · pith_short_16: WUJNIHDPG54EK5WA · pith_short_8: WUJNIHDP

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/WUJNIHDPG54EK5WAPS7MUJ7N45 \
  | 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: b512d41c6f37784576c07cbeca27ede77ad0a0aab804f8d797f17fa6c8bcfc0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "077a1c96b06147fd4fbabdd1b924d7e0f82ef9562eb564e2dc8ee3c3d72c7668",
    "cross_cats_sorted": [
      "cs.NA",
      "math.OC",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2007-02-13T14:16:20Z",
    "title_canon_sha256": "cb36fb2384bc4743a6caeaeb1574efa4884ae7d8dfe10811c516efa2bb00c467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702360",
    "kind": "arxiv",
    "version": 2
  }
}