Pith Number

pith:CSLKGMID

pith:2010:CSLKGMID2SXKPNPMACT7KIFYWE

not attested not anchored not stored refs pending

Realizability of the group of rational self-homotopy equivalences

Mahmoud Benkhalifa

arxiv:1010.1441 v1 · 2010-10-07 · 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{CSLKGMID2SXKPNPMACT7KIFYWE}

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	2026-05-18T04:39:41.085835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1496a33103d4aea7b5ec00a7f520b8b105888ae33ac6317fee322ffde3df8be4

Aliases

arxiv: 1010.1441 · arxiv_version: 1010.1441v1 · doi: 10.48550/arxiv.1010.1441 · pith_short_12: CSLKGMID2SXK · pith_short_16: CSLKGMID2SXKPNPM · pith_short_8: CSLKGMID

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/CSLKGMID2SXKPNPMACT7KIFYWE \
  | 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: 1496a33103d4aea7b5ec00a7f520b8b105888ae33ac6317fee322ffde3df8be4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57dc422790b648188fc24d4cd33e7d1111d323d819fe1edb827daecba5bc7a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-10-07T14:24:19Z",
    "title_canon_sha256": "aaf603767d0576562eace8124d8b85063b4f84debcad2e20993643c14285fd54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1441",
    "kind": "arxiv",
    "version": 1
  }
}