Pith Number

pith:42MOMV5F

pith:2023:42MOMV5FTNN43KSRWORGCJWZAP

not attested not anchored not stored refs pending

Magnitude and magnitude homology of filtered set enriched categories

Yasuhiko Asao

arxiv:2303.05677 v2 · 2023-03-10 · math.AT · math.CT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42MOMV5FTNN43KSRWORGCJWZAP}

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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

3 papers in Pith

Filtered order complexes and magnitude homology of finite graded posets

Homotopy theories via the magnitude-path spectral sequence

Bigraded path homology and the magnitude-path spectral sequence

Receipt and verification

First computed	2026-07-05T06:34:04.548691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e698e657a59b5bcdaa51b3a26126d903e70dd628aea66e537ae47daece47542d

Aliases

arxiv: 2303.05677 · arxiv_version: 2303.05677v2 · doi: 10.48550/arxiv.2303.05677 · pith_short_12: 42MOMV5FTNN4 · pith_short_16: 42MOMV5FTNN43KSR · pith_short_8: 42MOMV5F

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/42MOMV5FTNN43KSRWORGCJWZAP \
  | 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: e698e657a59b5bcdaa51b3a26126d903e70dd628aea66e537ae47daece47542d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bdd0f2f817d5dbbca39d3982bd45f4a22edb3b8c18305bcce3b80a6e1f61307",
    "cross_cats_sorted": [
      "math.CT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-03-10T03:09:40Z",
    "title_canon_sha256": "c0fafe8a4456d14c96a7b45c954349bcd4e996a81b2786fe489508543e8860a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.05677",
    "kind": "arxiv",
    "version": 2
  }
}