Pith Number

pith:36DYHVR7

pith:2011:36DYHVR7FUTKVJQJ7EUA6AMUB3

not attested not anchored not stored refs pending

Betti Bounds of Polynomials

Dirk Siersma, Mihai Tibar

arxiv:1101.3678 v1 · 2011-01-19 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36DYHVR7FUTKVJQJ7EUA6AMUB3}

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	2026-05-18T04:14:27.558665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df8783d63f2d26aaa609f9280f01940ec3a32d7144508a5844023926d719839d

Aliases

arxiv: 1101.3678 · arxiv_version: 1101.3678v1 · doi: 10.48550/arxiv.1101.3678 · pith_short_12: 36DYHVR7FUTK · pith_short_16: 36DYHVR7FUTKVJQJ · pith_short_8: 36DYHVR7

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/36DYHVR7FUTKVJQJ7EUA6AMUB3 \
  | 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: df8783d63f2d26aaa609f9280f01940ec3a32d7144508a5844023926d719839d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b946bdec21890c8941208b7492a87b57fb77cb61516455b16973205a6924a2cd",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-19T12:42:05Z",
    "title_canon_sha256": "19891bd2035d7a237eaef9269d6071b37ad33fa6b75f58b6a7f940cf60ac862a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3678",
    "kind": "arxiv",
    "version": 1
  }
}