Pith Number

pith:WG72NGMZ

pith:2022:WG72NGMZFJAZFMKYATQPIUH4QI

not attested not anchored not stored refs pending

Homological stability of diffeomorphism groups of high dimensional manifolds via $E_k$-algebras

Ismael Sierra

arxiv:2209.10243 v2 · 2022-09-21 · 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{WG72NGMZFJAZFMKYATQPIUH4QI}

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	2026-07-05T05:58:52.062293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1bfa699992a4192b15804e0f450fc821f3d9a19415482ab5a886fd1107f7d67

Aliases

arxiv: 2209.10243 · arxiv_version: 2209.10243v2 · doi: 10.48550/arxiv.2209.10243 · pith_short_12: WG72NGMZFJAZ · pith_short_16: WG72NGMZFJAZFMKY · pith_short_8: WG72NGMZ

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/WG72NGMZFJAZFMKYATQPIUH4QI \
  | 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: b1bfa699992a4192b15804e0f450fc821f3d9a19415482ab5a886fd1107f7d67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2592b0b92394209dad422e1baabbbbc55776dd6d59dd1fb64350a85cdf68c36d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2022-09-21T10:14:57Z",
    "title_canon_sha256": "dec4546233e48e321579137845ab5f970f56395b202af7bf530ff5e6e5fc0f53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.10243",
    "kind": "arxiv",
    "version": 2
  }
}