Pith Number

pith:7VNMXLL4

pith:2025:7VNMXLL46GQVUGILIJQWE2BS4A

not attested not anchored not stored refs pending

Halfway to induced saturation for even cycles

Sahab Hajebi, Sepehr Hajebi, Sophie Spirkl, Xinyue Fan

arxiv:2505.24100 v2 · 2025-05-30 · 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{7VNMXLL46GQVUGILIJQWE2BS4A}

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

Asymmetric induced saturation

Receipt and verification

First computed	2026-07-05T11:14:09.023620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd5acbad7cf1a15a190b4261626832e01d16c3f3fa7740880aa94b8e10564d12

Aliases

arxiv: 2505.24100 · arxiv_version: 2505.24100v2 · doi: 10.48550/arxiv.2505.24100 · pith_short_12: 7VNMXLL46GQV · pith_short_16: 7VNMXLL46GQVUGIL · pith_short_8: 7VNMXLL4

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/7VNMXLL46GQVUGILIJQWE2BS4A \
  | 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: fd5acbad7cf1a15a190b4261626832e01d16c3f3fa7740880aa94b8e10564d12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "019e14a84890f32dae7beb32cc4ce614385a78db7eaa7a7fb785a848ee2b24b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-30T01:03:32Z",
    "title_canon_sha256": "8a35e464cc9359137832f4a655318e1b67d6259b40b7e27fed67fdd534ffcc3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.24100",
    "kind": "arxiv",
    "version": 2
  }
}