Pith Number

pith:M6IFWLIX

pith:2025:M6IFWLIX552O6RA7M6VOQ27EWB

not attested not anchored not stored refs pending

The complete edge relaxation for binary polynomial optimization

Aida Khajavirad, Alberto Del Pia

arxiv:2507.12831 v2 · 2025-07-17 · math.OC · 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{M6IFWLIX552O6RA7M6VOQ27EWB}

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	2026-06-11T01:10:27.165953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67905b2d17ef74ef441f67aae86be4b058a431846905ecdb32d1a7eafe0b9ff6

Aliases

arxiv: 2507.12831 · arxiv_version: 2507.12831v2 · doi: 10.48550/arxiv.2507.12831 · pith_short_12: M6IFWLIX552O · pith_short_16: M6IFWLIX552O6RA7 · pith_short_8: M6IFWLIX

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/M6IFWLIX552O6RA7M6VOQ27EWB \
  | 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: 67905b2d17ef74ef441f67aae86be4b058a431846905ecdb32d1a7eafe0b9ff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e33cd63bcc0c47c0ab4ed78b81d5d504d8417b8ec454a3b944843039b1a970",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-17T06:45:14Z",
    "title_canon_sha256": "e63b2d4bbb9ee5398991a9a7c7cb4e1cf70f9f6f97b54dcb56e6d5e5494367b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12831",
    "kind": "arxiv",
    "version": 2
  }
}