Pith Number

pith:Z7KWFPTS

pith:2019:Z7KWFPTSTYMMEWGNXSTIEAYEYX

not attested not anchored not stored refs pending

Persistent homology of unweighted complex networks via discrete Morse theory

Areejit Samal, Emil Saucan, Harish Kannan, Indrava Roy

arxiv:1901.00395 v2 · 2019-01-02 · cs.DM · 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{Z7KWFPTSTYMMEWGNXSTIEAYEYX}

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	2026-07-05T00:08:03.939292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfd562be729e18c258cdbca6820304c5c3d342aad70738b8174802a9c4226ca8

Aliases

arxiv: 1901.00395 · arxiv_version: 1901.00395v2 · doi: 10.48550/arxiv.1901.00395 · pith_short_12: Z7KWFPTSTYMM · pith_short_16: Z7KWFPTSTYMMEWGN · pith_short_8: Z7KWFPTS

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/Z7KWFPTSTYMMEWGNXSTIEAYEYX \
  | 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: cfd562be729e18c258cdbca6820304c5c3d342aad70738b8174802a9c4226ca8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8dd032bc6b16bcfe6950cc0c1ca91757d53d62f6b5653f4f75d4a158098f452",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2019-01-02T14:35:53Z",
    "title_canon_sha256": "52adf749dd1abf73c8b9a8f3a85083114717fdbc49cc64bc8a2d6bcd8a73a289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00395",
    "kind": "arxiv",
    "version": 2
  }
}