Pith Number

pith:UFJSCNIS

pith:2010:UFJSCNISNP4VY6SJFAGKNYETMW

not attested not anchored not stored refs pending

Structure of random r-SAT below the pure literal threshold

Alexander D. Scott, Gregory B. Sorkin

arxiv:1008.1260 v1 · 2010-08-06 · 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{UFJSCNISNP4VY6SJFAGKNYETMW}

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	2026-05-18T04:42:33.855863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1532135126bf95c7a49280ca6e09365b5414b64fa5e63c9a7ab7dbf5aff16c9

Aliases

arxiv: 1008.1260 · arxiv_version: 1008.1260v1 · doi: 10.48550/arxiv.1008.1260 · pith_short_12: UFJSCNISNP4V · pith_short_16: UFJSCNISNP4VY6SJ · pith_short_8: UFJSCNIS

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/UFJSCNISNP4VY6SJFAGKNYETMW \
  | 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: a1532135126bf95c7a49280ca6e09365b5414b64fa5e63c9a7ab7dbf5aff16c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffd04678e37c1d68b55d34826fb43fdd3aee2984c1ce67a5393f4d11ba3d0fd7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-08-06T19:45:23Z",
    "title_canon_sha256": "17cc108b1d396797f816e68f4a0e11c4dcb93be8be73652ea52d61604616ce17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1260",
    "kind": "arxiv",
    "version": 1
  }
}