Pith Number

pith:F2Z64LUW

pith:2017:F2Z64LUWXSCI3633NLE3ZIFA3Y

not attested not anchored not stored refs pending

Kneser ranks of random graphs and minimum difference representations

Ida Kantor, Zolt\'an F\"uredi

arxiv:1701.08292 v1 · 2017-01-28 · 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{F2Z64LUWXSCI3633NLE3ZIFA3Y}

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	2026-05-18T00:51:54.636406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eb3ee2e96bc848dfb7b6ac9bca0a0de35a417778c93fe7b12057cee01d8e852

Aliases

arxiv: 1701.08292 · arxiv_version: 1701.08292v1 · doi: 10.48550/arxiv.1701.08292 · pith_short_12: F2Z64LUWXSCI · pith_short_16: F2Z64LUWXSCI3633 · pith_short_8: F2Z64LUW

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/F2Z64LUWXSCI3633NLE3ZIFA3Y \
  | 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: 2eb3ee2e96bc848dfb7b6ac9bca0a0de35a417778c93fe7b12057cee01d8e852

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3d281c2f2c5aeb2c6678ef2e0b1d7317008a2da8ad59bd6cb583677358c8a8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-28T14:18:12Z",
    "title_canon_sha256": "398f4a0526be14cb2565ff1c5d6d1798dc2f5043777cd0c9149e276025eaf4e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08292",
    "kind": "arxiv",
    "version": 1
  }
}