Pith Number

pith:4GRT5LCS

pith:2024:4GRT5LCS2B662N765OZGO3TG5Y

not attested not anchored not stored refs pending

Fundamental group in stable Morse theory

Florian Bertuol, Jean-Fran\c{c}ois Barraud

arxiv:2410.07802 v1 · 2024-10-10 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GRT5LCS2B662N765OZGO3TG5Y}

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.

Cited by

1 paper in Pith

Continuation maps for the Morse fundamental group

Receipt and verification

First computed	2026-07-05T09:18:44.198831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a33eac52d07ded37feebb2676e66ee002538d5295e3b253a6a1bc9429ddced

Aliases

arxiv: 2410.07802 · arxiv_version: 2410.07802v1 · doi: 10.48550/arxiv.2410.07802 · pith_short_12: 4GRT5LCS2B66 · pith_short_16: 4GRT5LCS2B662N76 · pith_short_8: 4GRT5LCS

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/4GRT5LCS2B662N765OZGO3TG5Y \
  | 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: e1a33eac52d07ded37feebb2676e66ee002538d5295e3b253a6a1bc9429ddced

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db1506875b27e09ba5855db70e78397ed5460e45ed86dbd692d4ee6ebe0be498",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2024-10-10T10:42:15Z",
    "title_canon_sha256": "a84e497b914ec1e569c3bdbaf942125057215ade6b4813ee848936aaaba7f4a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.07802",
    "kind": "arxiv",
    "version": 1
  }
}