Pith Number

pith:3C5M2FPS

pith:2025:3C5M2FPSZF5H6D4J4XP5NYZVKF

not attested not anchored not stored refs pending

Connections on a principal Lie groupoid bundle and representations up to homotopy

Naga Arjun S J, Saikat Chatterjee

arxiv:2502.02284 v4 · 2025-02-04 · math.DG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3C5M2FPSZF5H6D4J4XP5NYZVKF}

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	2026-07-05T10:51:32.133733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8bacd15f2c97a7f0f89e5dfd6e33551448af5f5ebf28c81757fe11d5964f767

Aliases

arxiv: 2502.02284 · arxiv_version: 2502.02284v4 · doi: 10.48550/arxiv.2502.02284 · pith_short_12: 3C5M2FPSZF5H · pith_short_16: 3C5M2FPSZF5H6D4J · pith_short_8: 3C5M2FPS

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/3C5M2FPSZF5H6D4J4XP5NYZVKF \
  | 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: d8bacd15f2c97a7f0f89e5dfd6e33551448af5f5ebf28c81757fe11d5964f767

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f52a99a48a23358fe0f14af765a9e9dfd3a7c94a3d66441e47bbb50c57660922",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-02-04T12:50:56Z",
    "title_canon_sha256": "535dbb2e4d7c4ba407a77d868eb7e5a69c364441006cfad255b8ad97798ff853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.02284",
    "kind": "arxiv",
    "version": 4
  }
}