Pith Number

pith:KBDVBN7D

pith:2024:KBDVBN7DNOK6HVIGNATLPOFRCF

not attested not anchored not stored refs pending

Weak saturation rank: a failure of linear algebraic approach to weak saturation

Maksim Zhukovskii, Nikolai Terekhov

arxiv:2405.17857 v2 · 2024-05-28 · 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{KBDVBN7DNOK6HVIGNATLPOFRCF}

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.

Cited by

1 paper in Pith

When does a tree activate the random graph?

Receipt and verification

First computed	2026-07-05T08:31:51.585355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

504750b7e36b95e3d5066826b7b8b11155cea79670b43a672aedd012899fcb6e

Aliases

arxiv: 2405.17857 · arxiv_version: 2405.17857v2 · doi: 10.48550/arxiv.2405.17857 · pith_short_12: KBDVBN7DNOK6 · pith_short_16: KBDVBN7DNOK6HVIG · pith_short_8: KBDVBN7D

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/KBDVBN7DNOK6HVIGNATLPOFRCF \
  | 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: 504750b7e36b95e3d5066826b7b8b11155cea79670b43a672aedd012899fcb6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e85a2709b531f918ba60515361eba96ac4784c9ec32a3d323e4f3b349e414c08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-05-28T06:16:12Z",
    "title_canon_sha256": "de157f895deb0bcbcf5eefb6f35849773f00ac523bd167b9d0cdfd7af80c65b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.17857",
    "kind": "arxiv",
    "version": 2
  }
}