Pith Number

pith:N7YIEV24

pith:2021:N7YIEV247IF2DCZUJNARV6ZS54

not attested not anchored not stored refs pending

A proof of Kosniowski conjecture

Zhi L\"u

arxiv:2108.08699 v3 · 2021-08-19 · math.GT · 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{N7YIEV247IF2DCZUJNARV6ZS54}

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

Reduced characteristic number criteria for equivariant bordism of $T^k$- and $(\mathbb{Z}_2)^k$-manifolds with isolated fixed points

Receipt and verification

First computed	2026-07-05T03:09:31.762627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ff082575cfa0ba18b344b411afb32ef18751ee9452a853783b87c50ebf98133

Aliases

arxiv: 2108.08699 · arxiv_version: 2108.08699v3 · doi: 10.48550/arxiv.2108.08699 · pith_short_12: N7YIEV247IF2 · pith_short_16: N7YIEV247IF2DCZU · pith_short_8: N7YIEV24

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/N7YIEV247IF2DCZUJNARV6ZS54 \
  | 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: 6ff082575cfa0ba18b344b411afb32ef18751ee9452a853783b87c50ebf98133

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8c21556026ac27e377ff16559fee973409b1385e6268146325c83411d7642dd",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-08-19T14:10:48Z",
    "title_canon_sha256": "91a331bd0c6a215667ee5754479ff9fa15b2e3dbb7bc187508411a5ac95230ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.08699",
    "kind": "arxiv",
    "version": 3
  }
}