Pith Number

pith:KZNWBORV

pith:2024:KZNWBORVYKH7ML4C4KNAREJLAT

not attested not anchored not stored refs pending

A notion of homotopy for directed graphs and their flag complexes

Heather A. Harrington, Thomas Chaplin, Ulrike Tillmann

arxiv:2411.04572 v1 · 2024-11-07 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZNWBORVYKH7ML4C4KNAREJLAT}

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.

Cited by

1 paper in Pith

Computing singular simplicial homologies of digraphs and quivers

Receipt and verification

First computed	2026-07-05T09:32:22.248760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

565b60ba35c28ff62f82e29a08912b04f93c3b945d7c43c8b8070cd66f93e34e

Aliases

arxiv: 2411.04572 · arxiv_version: 2411.04572v1 · doi: 10.48550/arxiv.2411.04572 · pith_short_12: KZNWBORVYKH7 · pith_short_16: KZNWBORVYKH7ML4C · pith_short_8: KZNWBORV

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/KZNWBORVYKH7ML4C4KNAREJLAT \
  | 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: 565b60ba35c28ff62f82e29a08912b04f93c3b945d7c43c8b8070cd66f93e34e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd067780b1a5b60d7fc6d0437466237de2005749e221674b224db5cfc579cb45",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-11-07T09:55:56Z",
    "title_canon_sha256": "62292e0f36d30fdebf260d97e556cc23b8e0f2c6e3251341639ac6b6e663a349"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.04572",
    "kind": "arxiv",
    "version": 1
  }
}