Pith Number

pith:5JYHFBK4

pith:2012:5JYHFBK4X5O2PA2BGQYFA5RYVD

not attested not anchored not stored refs pending

Derived string topology and the Eilenberg-Moore spectral sequence

Katsuhiko Kuribayashi, Luc Menichi, Takahito Naito

arxiv:1211.6833 v2 · 2012-11-29 · 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{5JYHFBK4X5O2PA2BGQYFA5RYVD}

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	2026-05-18T03:27:12.114976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea7072855cbf5da783413430507638a8ebed0221d783cdf28eeffd33ea220472

Aliases

arxiv: 1211.6833 · arxiv_version: 1211.6833v2 · doi: 10.48550/arxiv.1211.6833 · pith_short_12: 5JYHFBK4X5O2 · pith_short_16: 5JYHFBK4X5O2PA2B · pith_short_8: 5JYHFBK4

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/5JYHFBK4X5O2PA2BGQYFA5RYVD \
  | 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: ea7072855cbf5da783413430507638a8ebed0221d783cdf28eeffd33ea220472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5686b9332c8369acf66a9e67c7337b1c91fd0433af90c1f355e9e42f38cedcdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-11-29T07:50:08Z",
    "title_canon_sha256": "72d4bac26d001e2e8d20ee5246061c93567959bc81cf9bfba6c21fc4165426e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6833",
    "kind": "arxiv",
    "version": 2
  }
}