Pith Number

pith:U7XIHSDP

pith:2015:U7XIHSDPVS5TWL6SN56AQETG6K

not attested not anchored not stored refs pending

On Percolation and $NP$-Hardness

Daniel Reichman, Igor Shinkar

arxiv:1508.02071 v1 · 2015-08-09 · 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{U7XIHSDPVS5TWL6SN56AQETG6K}

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	2026-05-18T01:35:34.304639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7ee83c86facbb3b2fd26f7c081266f28033bda60874458cd359b038ee6401f3

Aliases

arxiv: 1508.02071 · arxiv_version: 1508.02071v1 · doi: 10.48550/arxiv.1508.02071 · pith_short_12: U7XIHSDPVS5T · pith_short_16: U7XIHSDPVS5TWL6S · pith_short_8: U7XIHSDP

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/U7XIHSDPVS5TWL6SN56AQETG6K \
  | 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: a7ee83c86facbb3b2fd26f7c081266f28033bda60874458cd359b038ee6401f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be48e91b634e7d4452487137db4730e8217a50a3d8600247d48ebc37897ff16d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-08-09T19:03:15Z",
    "title_canon_sha256": "ef9aab8ce2368186b47e326ae0e9ec2b4774dbe5b38f3be631d777a3834df2b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02071",
    "kind": "arxiv",
    "version": 1
  }
}