Pith Number

pith:2EQQLAI2

pith:2019:2EQQLAI2R5G2KXNPIXXZWEHSJG

not attested not anchored not stored refs pending

Beyond Natural Proofs: Hardness Magnification and Locality

Igor C. Oliveira, Jan Pich, Lijie Chen, Ninad Rajgopal, Rahul Santhanam, Shuichi Hirahara

arxiv:1911.08297 v1 · 2019-11-19 · cs.CC · cs.DM · 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{2EQQLAI2R5G2KXNPIXXZWEHSJG}

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	2026-07-05T00:20:27.322914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d12105811a8f4da55daf45ef9b10f249ae240b9b213d1fb28874b77849f407fa

Aliases

arxiv: 1911.08297 · arxiv_version: 1911.08297v1 · doi: 10.48550/arxiv.1911.08297 · pith_short_12: 2EQQLAI2R5G2 · pith_short_16: 2EQQLAI2R5G2KXNP · pith_short_8: 2EQQLAI2

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/2EQQLAI2R5G2KXNPIXXZWEHSJG \
  | 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: d12105811a8f4da55daf45ef9b10f249ae240b9b213d1fb28874b77849f407fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96385c30e17644e1c521519e4f679ca1b7a9510cb3b8699f495a8d20b456a749",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2019-11-19T14:35:26Z",
    "title_canon_sha256": "78778dca27a685f400efb1c54de7e5620ee64cc54739e9370b4c37e0a1886a85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.08297",
    "kind": "arxiv",
    "version": 1
  }
}