Pith Number

pith:AX6HOU7K

pith:2015:AX6HOU7KCKRTILAX3AFWRG42SM

not attested not anchored not stored refs pending

Proving homological stability for homeomorphisms of manifolds

Alexander Kupers

arxiv:1510.02456 v3 · 2015-10-08 · 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{AX6HOU7KCKRTILAX3AFWRG42SM}

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

Diffeomorphism groups and gauge theory for families

Receipt and verification

First computed	2026-05-18T01:08:26.322929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05fc7753ea12a3342c17d80b689b9a931baddb0a206529798c00c8445321b20f

Aliases

arxiv: 1510.02456 · arxiv_version: 1510.02456v3 · doi: 10.48550/arxiv.1510.02456 · pith_short_12: AX6HOU7KCKRT · pith_short_16: AX6HOU7KCKRTILAX · pith_short_8: AX6HOU7K

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/AX6HOU7KCKRTILAX3AFWRG42SM \
  | 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: 05fc7753ea12a3342c17d80b689b9a931baddb0a206529798c00c8445321b20f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10af179d7e63e7c6048c1dc030abb93cefb30178981c01a4a883e6c3d88cbcfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-10-08T19:33:08Z",
    "title_canon_sha256": "0a2589af54277f50469035e61da5db7f382115572b634d638e4170f7395d720a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02456",
    "kind": "arxiv",
    "version": 3
  }
}