Pith Number

pith:BIFWXUDD

pith:2026:BIFWXUDDFSJPDVH5ET7YJC7JLR

not attested not anchored not stored refs pending

Lipschitz Functions on Sparse Graphs II

Samuel Korsky

arxiv:2605.25515 v1 · 2026-05-25 · 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{BIFWXUDDFSJPDVH5ET7YJC7JLR}

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	2026-05-26T02:04:40.404775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a0b6bd0632c92f1d4fd24ff848be95c791a049c49ef78db8168f35ad8067da6

Aliases

arxiv: 2605.25515 · arxiv_version: 2605.25515v1 · doi: 10.48550/arxiv.2605.25515 · pith_short_12: BIFWXUDDFSJP · pith_short_16: BIFWXUDDFSJPDVH5 · pith_short_8: BIFWXUDD

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/BIFWXUDDFSJPDVH5ET7YJC7JLR \
  | 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: 0a0b6bd0632c92f1d4fd24ff848be95c791a049c49ef78db8168f35ad8067da6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77868ce5fb7c261804c5c94f7ad4bba3094d662cefb4e8b39842aa344e96bfcd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-25T07:19:02Z",
    "title_canon_sha256": "1c948835e220fd8adac8b97b0a6849228191c33d0a5fc26840cb38b522d50a3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25515",
    "kind": "arxiv",
    "version": 1
  }
}