Pith Number

pith:BSO6D2JM

pith:2019:BSO6D2JMP7CI3LYIZSU2YNKQ5C

not attested not anchored not stored refs pending

MVF Designer: Design and Visualization of Morse Vector Fields

Bei Wang, Janis Lazovskis, Matthew Zabka, Michael J. Catanzaro, Youjia Zhou

arxiv:1912.09580 v1 · 2019-12-19 · cs.GR · cs.CG · math.AT · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BSO6D2JMP7CI3LYIZSU2YNKQ5C}

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	2026-07-05T00:27:35.690493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c9de1e92c7fc48daf08cca9ac3550e8a88ec98d13993cfcd9e232d0f0b85733

Aliases

arxiv: 1912.09580 · arxiv_version: 1912.09580v1 · doi: 10.48550/arxiv.1912.09580 · pith_short_12: BSO6D2JMP7CI · pith_short_16: BSO6D2JMP7CI3LYI · pith_short_8: BSO6D2JM

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/BSO6D2JMP7CI3LYIZSU2YNKQ5C \
  | 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: 0c9de1e92c7fc48daf08cca9ac3550e8a88ec98d13993cfcd9e232d0f0b85733

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88809d7c962bf146ad3fa108866d5802abfe05f10c1e847af179a517af8af91a",
    "cross_cats_sorted": [
      "cs.CG",
      "math.AT",
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GR",
    "submitted_at": "2019-12-19T22:39:40Z",
    "title_canon_sha256": "d051c56314f9abf67e08b7f44344f315eacc84332369f919d0c9f797f3f8d76e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.09580",
    "kind": "arxiv",
    "version": 1
  }
}