Pith Number

pith:B37PFOOV

pith:2011:B37PFOOV2K55HM4VDNOF2D6Y4P

not attested not anchored not stored refs pending

On the rational homology of high dimensional analogues of spaces of long knots

Gregory Arone, Victor Tourtchine

arxiv:1105.1576 v4 · 2011-05-09 · 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{B37PFOOV2K55HM4VDNOF2D6Y4P}

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	2026-05-18T02:38:18.158749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0efef2b9d5d2bbd3b3951b5c5d0fd8e3d9a0c0492da360aef56a22d0c02d6205

Aliases

arxiv: 1105.1576 · arxiv_version: 1105.1576v4 · doi: 10.48550/arxiv.1105.1576 · pith_short_12: B37PFOOV2K55 · pith_short_16: B37PFOOV2K55HM4V · pith_short_8: B37PFOOV

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/B37PFOOV2K55HM4VDNOF2D6Y4P \
  | 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: 0efef2b9d5d2bbd3b3951b5c5d0fd8e3d9a0c0492da360aef56a22d0c02d6205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f750ede8ae19f8cca3799428c2d7c74948344bfe47c1619442968ef56fee1b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-05-09T04:02:25Z",
    "title_canon_sha256": "33f9ee55a60801e8e9756ad9580a1161fc30e1fcdc254ebb55437160869a34da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1576",
    "kind": "arxiv",
    "version": 4
  }
}