Pith Number

pith:TYFJCRFN

pith:2026:TYFJCRFNQAX5LG5SMT6UA3BB5G

not attested not anchored not stored refs pending

Online balancing of vectors with small coordinates

Antonios Hmadi

arxiv:2608.12490 v1 · 2026-08-12 · math.CO · cs.DM · cs.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYFJCRFNQAX5LG5SMT6UA3BB5G}

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	2026-08-14T00:43:58.611414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e0a9144ad802fd59bb264fd406c21e9ab666f0cf3f78c000f2696645ec8eb08

Aliases

arxiv: 2608.12490 · arxiv_version: 2608.12490v1 · doi: 10.48550/arxiv.2608.12490 · pith_short_12: TYFJCRFNQAX5 · pith_short_16: TYFJCRFNQAX5LG5S · pith_short_8: TYFJCRFN

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/TYFJCRFNQAX5LG5SMT6UA3BB5G \
  | 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: 9e0a9144ad802fd59bb264fd406c21e9ab666f0cf3f78c000f2696645ec8eb08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ec97dd20285c6f1f9e4bae3faf7fdfe8138d00488f1170154c7c83388a7cfea",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-12T18:10:45Z",
    "title_canon_sha256": "d6195fa47065806e375d527de42aa3585955b0459c1bb406b31c564ac406ea49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12490",
    "kind": "arxiv",
    "version": 1
  }
}