Pith Number

pith:EK6GUDUM

pith:2014:EK6GUDUMZWRYLZVB7EG6HYQFO4

not attested not anchored not stored refs pending

Nonclassical polynomials as a barrier to polynomial lower bounds

Abhishek Bhowmick, Shachar Lovett

arxiv:1412.4719 v1 · 2014-12-15 · 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{EK6GUDUMZWRYLZVB7EG6HYQFO4}

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	2026-05-18T02:31:18.443990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22bc6a0e8ccda385e6a1f90de3e205773b43f4e28dd04e3b81ba3befcba9a434

Aliases

arxiv: 1412.4719 · arxiv_version: 1412.4719v1 · doi: 10.48550/arxiv.1412.4719 · pith_short_12: EK6GUDUMZWRY · pith_short_16: EK6GUDUMZWRYLZVB · pith_short_8: EK6GUDUM

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/EK6GUDUMZWRYLZVB7EG6HYQFO4 \
  | 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: 22bc6a0e8ccda385e6a1f90de3e205773b43f4e28dd04e3b81ba3befcba9a434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "552861cd03507fbbeab7440ada4aee925f655e2dd8201c658d892366032bb213",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-12-15T18:51:06Z",
    "title_canon_sha256": "b3edafb055e52223976022d27579f139e9ba0972252f4b1fa172a261c4003229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4719",
    "kind": "arxiv",
    "version": 1
  }
}