Pith Number

pith:E3YPO7YC

pith:2011:E3YPO7YCBYKDQ7POUYFPDH3M3S

not attested not anchored not stored refs pending

Pseudogroups and their etale groupoids

Daniel H. Lenz, Mark V. Lawson

arxiv:1107.5511 v2 · 2011-07-27 · 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{E3YPO7YCBYKDQ7POUYFPDH3M3S}

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	2026-05-18T04:16:11.439152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26f0f77f020e14387deea60af19f6cdc99b7a75b20b6acac1ead1ffb5e7fa5a1

Aliases

arxiv: 1107.5511 · arxiv_version: 1107.5511v2 · doi: 10.48550/arxiv.1107.5511 · pith_short_12: E3YPO7YCBYKD · pith_short_16: E3YPO7YCBYKDQ7PO · pith_short_8: E3YPO7YC

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/E3YPO7YCBYKDQ7POUYFPDH3M3S \
  | 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: 26f0f77f020e14387deea60af19f6cdc99b7a75b20b6acac1ead1ffb5e7fa5a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "173911930c95c80b64190d627ea2b5f4dcb41c8553bc10e3fc5779c3be5140f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-07-27T15:44:12Z",
    "title_canon_sha256": "297436915ae5825a29d8c0297c850d5bae7577589b8da13838ecdd2204208fb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5511",
    "kind": "arxiv",
    "version": 2
  }
}