Pith Number

pith:5OUV7DVA

pith:2015:5OUV7DVAJFO65KTDW5RHXBMWS5

not attested not anchored not stored refs pending

Limitations of sum of products of Read-Once Polynomials

B.V. Raghavendra Rao, C. Ramya

arxiv:1512.03607 v1 · 2015-12-11 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5OUV7DVAJFO65KTDW5RHXBMWS5}

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	2026-05-18T01:24:31.925505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eba95f8ea0495deeaa63b7627b859697725309aa75e796b3b05712987dc668e1

Aliases

arxiv: 1512.03607 · arxiv_version: 1512.03607v1 · doi: 10.48550/arxiv.1512.03607 · pith_short_12: 5OUV7DVAJFO6 · pith_short_16: 5OUV7DVAJFO65KTD · pith_short_8: 5OUV7DVA

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/5OUV7DVAJFO65KTDW5RHXBMWS5 \
  | 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: eba95f8ea0495deeaa63b7627b859697725309aa75e796b3b05712987dc668e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faa9f864c61ee93a6fdf20d439fd1b29e4266ffa9b4c3153881104b70a67d53a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-12-11T11:43:49Z",
    "title_canon_sha256": "158a1e47200ebdc03a579df696145d5c9e848e0d690ba4a76278ef3940d13624"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03607",
    "kind": "arxiv",
    "version": 1
  }
}