Pith Number

pith:SGJFAWTA

pith:2017:SGJFAWTAS5VOGQO4TK2QGFXQFY

not attested not anchored not stored refs pending

Matrix rigidity and the Croot-Lev-Pach lemma

Benjamin Edelman, Zeev Dvir

arxiv:1708.01646 v1 · 2017-08-04 · cs.CC · 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{SGJFAWTAS5VOGQO4TK2QGFXQFY}

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	2026-05-18T00:38:35.322177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9192505a60976ae341dc9ab50316f02e36e90b1022aa3b7cc9eb7f5c986c8695

Aliases

arxiv: 1708.01646 · arxiv_version: 1708.01646v1 · doi: 10.48550/arxiv.1708.01646 · pith_short_12: SGJFAWTAS5VO · pith_short_16: SGJFAWTAS5VOGQO4 · pith_short_8: SGJFAWTA

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/SGJFAWTAS5VOGQO4TK2QGFXQFY \
  | 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: 9192505a60976ae341dc9ab50316f02e36e90b1022aa3b7cc9eb7f5c986c8695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28e5061aa79ff4111db7af41edb590f5cf97ca5adb315590f6886e7320143ffa",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-08-04T19:23:31Z",
    "title_canon_sha256": "f207057198dc1f3ddb2991159e04d692fa4683c83f639f13ba7058e23ae18c31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01646",
    "kind": "arxiv",
    "version": 1
  }
}