Pith Number

pith:4QXSNOKP

pith:2011:4QXSNOKPM64PSOY45QPJCTIBN5

not attested not anchored not stored refs pending

New Formulas and Conjectures for the Nabla Operator

Francois Bergeron

arxiv:1105.5795 v1 · 2011-05-29 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QXSNOKPM64PSOY45QPJCTIBN5}

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	2026-05-18T04:21:01.518029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e42f26b94f67b8f93b1cec1e914d016f60d6c1bbb8883772d99e5d69a037ae67

Aliases

arxiv: 1105.5795 · arxiv_version: 1105.5795v1 · doi: 10.48550/arxiv.1105.5795 · pith_short_12: 4QXSNOKPM64P · pith_short_16: 4QXSNOKPM64PSOY4 · pith_short_8: 4QXSNOKP

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/4QXSNOKPM64PSOY45QPJCTIBN5 \
  | 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: e42f26b94f67b8f93b1cec1e914d016f60d6c1bbb8883772d99e5d69a037ae67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ea5861215b233f4452dea787feec0da753ce5c43dc84d2b90f2ab4bb67fb736",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-29T14:23:09Z",
    "title_canon_sha256": "9044e839cabf7b9c59bf065a04b0637a32085804aa03bb0c0b62b3203879bc81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5795",
    "kind": "arxiv",
    "version": 1
  }
}