Pith Number

pith:CKKZO2HT

pith:2013:CKKZO2HTKZ4C5YFY4GWO4WR472

not attested not anchored not stored refs pending

Two-loop part of the rational homotopy of spaces of long embeddings

Jean Costello, Jim Conant, Patrick Weed, Victor Tourtchine

arxiv:1310.0937 v2 · 2013-10-03 · math.AT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKKZO2HTKZ4C5YFY4GWO4WR472}

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	2026-05-18T03:11:12.220625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12959768f356782ee0b8e1acee5a3cfeada01389b1463177f517bfc3da3ab014

Aliases

arxiv: 1310.0937 · arxiv_version: 1310.0937v2 · doi: 10.48550/arxiv.1310.0937 · pith_short_12: CKKZO2HTKZ4C · pith_short_16: CKKZO2HTKZ4C5YFY · pith_short_8: CKKZO2HT

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/CKKZO2HTKZ4C5YFY4GWO4WR472 \
  | 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: 12959768f356782ee0b8e1acee5a3cfeada01389b1463177f517bfc3da3ab014

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83664c178be15c09cee93794d1ab8fb04473e5b1f00fe4b2285bb3a0d6b930d8",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-10-03T10:24:55Z",
    "title_canon_sha256": "a7a7fde8b4e417519006d942b70696057d7dcada782a05ef0418ab0254459fff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0937",
    "kind": "arxiv",
    "version": 2
  }
}