Pith Number

pith:VYAGTBX6

pith:2025:VYAGTBX6MBQ3GOZONGAPKD74QW

not attested not anchored not stored refs pending

Notes on twisted homology and cohomology groups for the Wirtinger integral

Genki Shibukawa, Yoshiaki Goto

arxiv:2511.17016 v2 · 2025-11-21 · math.AG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYAGTBX6MBQ3GOZONGAPKD74QW}

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	2026-05-26T02:04:00.071219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae006986fe6061b33b2e6980f50ffc85a691806552cca073083df092cdec3e05

Aliases

arxiv: 2511.17016 · arxiv_version: 2511.17016v2 · doi: 10.48550/arxiv.2511.17016 · pith_short_12: VYAGTBX6MBQ3 · pith_short_16: VYAGTBX6MBQ3GOZO · pith_short_8: VYAGTBX6

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/VYAGTBX6MBQ3GOZONGAPKD74QW \
  | 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: ae006986fe6061b33b2e6980f50ffc85a691806552cca073083df092cdec3e05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0debbdd3af6b1aabbb3fd7263b66a22888e3cb2dbefbe0359697126f19db87b",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-11-21T07:41:38Z",
    "title_canon_sha256": "57ced0b5806afb5eda5acc5723fac18182110be55cd32369d7e43e594a0bc91d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.17016",
    "kind": "arxiv",
    "version": 2
  }
}