Pith Number

pith:B5YRVX4R

pith:2013:B5YRVX4RZ4TFJMZKIIZAGVMXU7

not attested not anchored not stored refs pending

Parameterized Complexity of Discrete Morse Theory

Benjamin A. Burton, Jo\~ao Paix\~ao, Jonathan Spreer, Thomas Lewiner

arxiv:1303.7037 v1 · 2013-03-28 · cs.CG · cs.CC · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5YRVX4RZ4TFJMZKIIZAGVMXU7}

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	2026-05-18T00:02:36.983492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f711adf91cf2654b32a4232035597a7ce223776e1128010c50fbfc339554cb1

Aliases

arxiv: 1303.7037 · arxiv_version: 1303.7037v1 · doi: 10.48550/arxiv.1303.7037 · pith_short_12: B5YRVX4RZ4TF · pith_short_16: B5YRVX4RZ4TFJMZK · pith_short_8: B5YRVX4R

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/B5YRVX4RZ4TFJMZKIIZAGVMXU7 \
  | 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: 0f711adf91cf2654b32a4232035597a7ce223776e1128010c50fbfc339554cb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e57ccd2aacdc82f8ee00d66e9fd128b95bf4cd93d3cd4f1137c6003df78b351",
    "cross_cats_sorted": [
      "cs.CC",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2013-03-28T04:49:25Z",
    "title_canon_sha256": "d765d86c87d1a134a336b4b5d27518c17ce814c27f8a5637297805497736570b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7037",
    "kind": "arxiv",
    "version": 1
  }
}