Pith Number

pith:FRITUB2A

pith:2011:FRITUB2ABMMJ2CWCUGFN3HD63I

not attested not anchored not stored refs pending

Lifting locally homogeneous geometric structures

Benjamin McKay (University College Cork)

arxiv:1108.3210 v2 · 2011-08-16 · 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{FRITUB2ABMMJ2CWCUGFN3HD63I}

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	2026-07-05T04:30:31.355298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c513a07400b189d0ac2a18add9c7eda18742adca7d8841f726dae840c0d4cd9

Aliases

arxiv: 1108.3210 · arxiv_version: 1108.3210v2 · doi: 10.48550/arxiv.1108.3210 · pith_short_12: FRITUB2ABMMJ · pith_short_16: FRITUB2ABMMJ2CWC · pith_short_8: FRITUB2A

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/FRITUB2ABMMJ2CWCUGFN3HD63I \
  | 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: 2c513a07400b189d0ac2a18add9c7eda18742adca7d8841f726dae840c0d4cd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97280dd5a0fee8cb763e7c988cd35d0d523e8c9a225f29fe2195ff19f62a4309",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-16T11:42:17Z",
    "title_canon_sha256": "f80c20ec5547776722e5100b6296d25cfbc0d3c289945d8fff506ae48643a1af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3210",
    "kind": "arxiv",
    "version": 2
  }
}