Pith Number

pith:77UZ7AL5

pith:2025:77UZ7AL5YJEWFZZEFHONM2VNQ3

not attested not anchored not stored refs pending

On Closure Properties of Read-Once Oblivious Algebraic Branching Programs

Jules Armand, Magnus Rahbek Dalgaard Hansen, Nutan Limaye, Prateek Dwivedi, S\'ebastien Tavenas, Srikanth Srinivasan

arxiv:2509.10725 v1 · 2025-09-12 · cs.CC · 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{77UZ7AL5YJEWFZZEFHONM2VNQ3}

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	2026-07-05T12:11:26.906219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffe99f817dc24962e72429dcd66aad86d6931db9d8b91a3aedca0a854664c198

Aliases

arxiv: 2509.10725 · arxiv_version: 2509.10725v1 · doi: 10.48550/arxiv.2509.10725 · pith_short_12: 77UZ7AL5YJEW · pith_short_16: 77UZ7AL5YJEWFZZE · pith_short_8: 77UZ7AL5

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/77UZ7AL5YJEWFZZEFHONM2VNQ3 \
  | 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: ffe99f817dc24962e72429dcd66aad86d6931db9d8b91a3aedca0a854664c198

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53ae22b8ead0fd68df45bb2472a5eaee6d050fd07054ce876266902407090683",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-09-12T22:30:24Z",
    "title_canon_sha256": "1c4e2272067ca8ba60515f66f54969cce19658a6243f72aaa020db46dca48e24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10725",
    "kind": "arxiv",
    "version": 1
  }
}