Pith Number

pith:TE2EUDCA

pith:2019:TE2EUDCAE7OOGXVVYG7I7QMTRL

not attested not anchored not stored refs pending

A new bound for the crossing number of wrapped butterflies

Bharati R, Paul Manuel, Vijaya N

arxiv:1907.06245 v1 · 2019-07-14 · 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{TE2EUDCAE7OOGXVVYG7I7QMTRL}

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	2026-05-17T23:40:38.141420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99344a0c4027dce35eb5c1be8fc1938ac57552eb92102c1f777b44e9b0e3d328

Aliases

arxiv: 1907.06245 · arxiv_version: 1907.06245v1 · doi: 10.48550/arxiv.1907.06245 · pith_short_12: TE2EUDCAE7OO · pith_short_16: TE2EUDCAE7OOGXVV · pith_short_8: TE2EUDCA

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/TE2EUDCAE7OOGXVVYG7I7QMTRL \
  | 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: 99344a0c4027dce35eb5c1be8fc1938ac57552eb92102c1f777b44e9b0e3d328

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a43e95053ae598840d10154b198bbf05c97849452dc1de5a6c6c245e6b620696",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-14T16:31:24Z",
    "title_canon_sha256": "807a5658e6036b6db076d60c89ee0068161f24095126e8e8397064b2c458ebc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06245",
    "kind": "arxiv",
    "version": 1
  }
}