Pith Number

pith:FSAUAW75

pith:2025:FSAUAW75DQWI5HSDMLP4PYYSH3

not attested not anchored not stored refs pending

Eulerian magnitude homology: diagonality, injective words, and regular path homology

Giuliamaria Menara, Luigi Caputi

arxiv:2503.06722 v2 · 2025-03-09 · math.CO · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSAUAW75DQWI5HSDMLP4PYYSH3}

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

Avalanche homology of digraphs via sandpile dynamics

Receipt and verification

First computed	2026-07-05T11:59:11.604762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c81405bfd1c2c8e9e4362dfc7e3123ef6b40a33ad3420002c7282adc396e336

Aliases

arxiv: 2503.06722 · arxiv_version: 2503.06722v2 · doi: 10.48550/arxiv.2503.06722 · pith_short_12: FSAUAW75DQWI · pith_short_16: FSAUAW75DQWI5HSD · pith_short_8: FSAUAW75

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/FSAUAW75DQWI5HSDMLP4PYYSH3 \
  | 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: 2c81405bfd1c2c8e9e4362dfc7e3123ef6b40a33ad3420002c7282adc396e336

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5fce41628e0e5110c723ad34a1a2cbf8e88a65e8aada68b279901f8bf7009bf",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-09T18:40:56Z",
    "title_canon_sha256": "4f6037dfcf4d89f537289280534afc921830a64539e826688d5a2caa9e15e93f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.06722",
    "kind": "arxiv",
    "version": 2
  }
}