Pith Number

pith:H3HCXWF7

pith:2020:H3HCXWF73FTZ25P4DIHN6YKL7E

not attested not anchored not stored refs pending

Hierarchies of holonomy groupoids for foliated bundles

Lachlan Ewen MacDonald

arxiv:2004.13929 v2 · 2020-04-29 · 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{H3HCXWF73FTZ25P4DIHN6YKL7E}

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	2026-07-05T02:14:09.908770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ece2bd8bfd9679d75fc1a0edf614bf9260c24b2da00441c1dad40ff354ba9f5

Aliases

arxiv: 2004.13929 · arxiv_version: 2004.13929v2 · doi: 10.48550/arxiv.2004.13929 · pith_short_12: H3HCXWF73FTZ · pith_short_16: H3HCXWF73FTZ25P4 · pith_short_8: H3HCXWF7

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/H3HCXWF73FTZ25P4DIHN6YKL7E \
  | 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: 3ece2bd8bfd9679d75fc1a0edf614bf9260c24b2da00441c1dad40ff354ba9f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "435c409f592a1e4c01dd1c61e77931615d11279cf4d15dda1bdb48abfdc9244b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-04-29T02:29:13Z",
    "title_canon_sha256": "546171c621502b41d1a0769a6355a58f0730d16d60b265eb98e987b52e2c6e97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.13929",
    "kind": "arxiv",
    "version": 2
  }
}