Pith Number

pith:VKT2632M

pith:2013:VKT2632MVEFRMYU54WP2RJQ2U5

not attested not anchored not stored refs pending

Expected discrepancy for zeros of random algebraic polynomials

Alan A. Sola, Igor E. Pritsker

arxiv:1307.6202 v1 · 2013-07-23 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKT2632MVEFRMYU54WP2RJQ2U5}

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	2026-05-18T03:17:45.066868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaa7af6f4ca90b16629de59fa8a61aa75ef24b93535ec1d6ba8045b2b168b2a2

Aliases

arxiv: 1307.6202 · arxiv_version: 1307.6202v1 · doi: 10.48550/arxiv.1307.6202 · pith_short_12: VKT2632MVEFR · pith_short_16: VKT2632MVEFRMYU5 · pith_short_8: VKT2632M

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/VKT2632MVEFRMYU54WP2RJQ2U5 \
  | 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: aaa7af6f4ca90b16629de59fa8a61aa75ef24b93535ec1d6ba8045b2b168b2a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cef79a8aec4c575dbd0988a5465fe08a5bcd2c13bf71fbfb397814515ddf95ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-07-23T19:30:52Z",
    "title_canon_sha256": "e6e13123c704dbf0f2c4d963d86c7b30665ad9c0ce6eb20c3ce008e18a968514"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6202",
    "kind": "arxiv",
    "version": 1
  }
}