Pith Number

pith:SNCNEVQX

pith:2025:SNCNEVQXR2BSYDRTQ7VWA3XGBW

not attested not anchored not stored refs pending

One-dimensionality of certain cocycles for the detection of the Johnson cokernel

Toyo Taniguchi

arxiv:2507.20492 v1 · 2025-07-28 · 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{SNCNEVQXR2BSYDRTQ7VWA3XGBW}

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	2026-07-05T11:44:20.183311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9344d256178e832c0e3387eb606ee60db12a6355620723420833380d9d535e76

Aliases

arxiv: 2507.20492 · arxiv_version: 2507.20492v1 · doi: 10.48550/arxiv.2507.20492 · pith_short_12: SNCNEVQXR2BS · pith_short_16: SNCNEVQXR2BSYDRT · pith_short_8: SNCNEVQX

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/SNCNEVQXR2BSYDRTQ7VWA3XGBW \
  | 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: 9344d256178e832c0e3387eb606ee60db12a6355620723420833380d9d535e76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6c50569b25ba7c07f0376cac9d48381c8030fe72408f6f8d7c5abe81f84d457",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-07-28T03:01:12Z",
    "title_canon_sha256": "d96b14b105ebd4a06016e8f6886c004e1b90b4b5bec1821134da85941dcfd96c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20492",
    "kind": "arxiv",
    "version": 1
  }
}