Pith Number

pith:57XTJRLK

pith:2026:57XTJRLKNKG4XHO2GSPBQZNEXI

not attested not anchored not stored refs pending

A Jacobi Coupling Construction on Associated Bundles

Aissa Wade, Djideme Franck Houenou, Emmanuel Davakan

arxiv:2606.30614 v1 · 2026-06-29 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57XTJRLKNKG4XHO2GSPBQZNEXI}

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	2026-06-30T02:18:22.690360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efef34c56a6a8dcb9dda349e1865a4ba3f114cf4be12886b0dc8e2d1fdb0c79f

Aliases

arxiv: 2606.30614 · arxiv_version: 2606.30614v1 · doi: 10.48550/arxiv.2606.30614 · pith_short_12: 57XTJRLKNKG4 · pith_short_16: 57XTJRLKNKG4XHO2 · pith_short_8: 57XTJRLK

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/57XTJRLKNKG4XHO2GSPBQZNEXI \
  | 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: efef34c56a6a8dcb9dda349e1865a4ba3f114cf4be12886b0dc8e2d1fdb0c79f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8d53ccfcaaddc2be86c31eaaba1665ed154f74309f52d40b543d3e84162050d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-29T17:48:21Z",
    "title_canon_sha256": "cac42c70f5480a4def387d420405ff0c172adc741c3924cf9d124a896f2c5947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30614",
    "kind": "arxiv",
    "version": 1
  }
}