Pith Number

pith:XWEESIPY

pith:2026:XWEESIPY2HHU7ALBL4JPHYPAV7

not attested not anchored not stored refs pending

Annihilation, Independence, and Residue: Sharp Matching Bounds for the Annihilation Gap and a TxGraffiti Application

Ohr Kadrawi, Vadim E. Levit

arxiv:2607.01438 v1 · 2026-07-01 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWEESIPY2HHU7ALBL4JPHYPAV7}

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	2026-07-03T00:17:00.230244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd884921f8d1cf4f81615f12f3e1e0afcbcbde2e6b849a91708b5c73de07712f

Aliases

arxiv: 2607.01438 · arxiv_version: 2607.01438v1 · doi: 10.48550/arxiv.2607.01438 · pith_short_12: XWEESIPY2HHU · pith_short_16: XWEESIPY2HHU7ALB · pith_short_8: XWEESIPY

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/XWEESIPY2HHU7ALBL4JPHYPAV7 \
  | 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: bd884921f8d1cf4f81615f12f3e1e0afcbcbde2e6b849a91708b5c73de07712f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bbd4d90568f9122a75490dd653354e5efab486065ebe868b7037b16b532e35a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-01T20:01:14Z",
    "title_canon_sha256": "e52e22f6720b916308012d11d782b59431baf4d0907f3a1366622d0968dda463"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01438",
    "kind": "arxiv",
    "version": 1
  }
}