Pith Number

pith:LZLU74BV

pith:2013:LZLU74BVJCKNI5FWVTHJOTGYLO

not attested not anchored not stored refs pending

String Topology, Euler Class and TNCZ free loop fibrations

Luc Menichi (LAREMA)

arxiv:1308.6684 v1 · 2013-08-30 · 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{LZLU74BVJCKNI5FWVTHJOTGYLO}

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	2026-05-18T03:14:38.417620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e574ff0354894d474b6acce974cd85bb690c57a27ee11eac28e346b7c420144

Aliases

arxiv: 1308.6684 · arxiv_version: 1308.6684v1 · doi: 10.48550/arxiv.1308.6684 · pith_short_12: LZLU74BVJCKN · pith_short_16: LZLU74BVJCKNI5FW · pith_short_8: LZLU74BV

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/LZLU74BVJCKNI5FWVTHJOTGYLO \
  | 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: 5e574ff0354894d474b6acce974cd85bb690c57a27ee11eac28e346b7c420144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7cb6187147e46fbda96576b57dc71ca0d96358f4d483e9bed271d020f8fc49c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-08-30T09:02:59Z",
    "title_canon_sha256": "942222b528010f00731d6f1b9b487c81bbf1f807660c1e1fdf3164cf17de87c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6684",
    "kind": "arxiv",
    "version": 1
  }
}