Pith Number

pith:NLJ5QYL5

pith:2015:NLJ5QYL534IKSWK2OPARUX35SH

not attested not anchored not stored refs pending

A Generalized Method for Proving Polynomial Calculus Degree Lower Bounds

Jakob Nordstr\"om, Mladen Mik\v{s}a

arxiv:1505.01358 v1 · 2015-05-06 · cs.CC · cs.DM · cs.LO · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NLJ5QYL534IKSWK2OPARUX35SH}

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	2026-05-18T02:16:49.653591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ad3d8617ddf10a9595a73c11a5f7d91c45b3c0084afd488baf8432b92dffbe9

Aliases

arxiv: 1505.01358 · arxiv_version: 1505.01358v1 · doi: 10.48550/arxiv.1505.01358 · pith_short_12: NLJ5QYL534IK · pith_short_16: NLJ5QYL534IKSWK2 · pith_short_8: NLJ5QYL5

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/NLJ5QYL534IKSWK2OPARUX35SH \
  | 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: 6ad3d8617ddf10a9595a73c11a5f7d91c45b3c0084afd488baf8432b92dffbe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d99f008dbf46c3c4cbbb51743f6a24dfc8d95c09f5e91045f8df55d27508cf10",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.LO",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-05-06T13:34:47Z",
    "title_canon_sha256": "35f55d85c40261ee10b49b646197a0b71e6630ad341020f32fe656e23d0df590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01358",
    "kind": "arxiv",
    "version": 1
  }
}