Pith Number

pith:Y7SJSSDL

pith:2016:Y7SJSSDL3IBW27RXE46RB5H4YU

not attested not anchored not stored refs pending

#P- and $\oplus$P- completeness of counting roots of a sparse polynomial

Alexey Milovanov

arxiv:1608.07564 v1 · 2016-08-08 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7SJSSDL3IBW27RXE46RB5H4YU}

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	2026-05-18T01:07:52.763555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7e499486bda036d7e37273d10f4fcc539312b9465fffb5ace6f2f30673d7ce7

Aliases

arxiv: 1608.07564 · arxiv_version: 1608.07564v1 · doi: 10.48550/arxiv.1608.07564 · pith_short_12: Y7SJSSDL3IBW · pith_short_16: Y7SJSSDL3IBW27RX · pith_short_8: Y7SJSSDL

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/Y7SJSSDL3IBW27RXE46RB5H4YU \
  | 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: c7e499486bda036d7e37273d10f4fcc539312b9465fffb5ace6f2f30673d7ce7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f336f8d496f5d249d59b876ecafd013d17fd54890409d59899443fc6e5aa1c76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-08-08T16:56:31Z",
    "title_canon_sha256": "0df15fcd9225e47d720258f5223b720b11fc5bf4da2d89f01eb9e1f92d61159d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07564",
    "kind": "arxiv",
    "version": 1
  }
}