Pith Number

pith:QYYDLLVP

pith:2010:QYYDLLVPHD6YH6B32FRFOKJZUQ

not attested not anchored not stored refs pending

Canonical frames for Gl(2)-structures

Wojciech Krynski

arxiv:1012.0711 v2 · 2010-12-03 · 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{QYYDLLVPHD6YH6B32FRFOKJZUQ}

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	2026-05-18T04:34:08.546688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

863035aeaf38fd83f83bd162572939a43faace1bb903074ec4e2cc3f9011e50c

Aliases

arxiv: 1012.0711 · arxiv_version: 1012.0711v2 · doi: 10.48550/arxiv.1012.0711 · pith_short_12: QYYDLLVPHD6Y · pith_short_16: QYYDLLVPHD6YH6B3 · pith_short_8: QYYDLLVP

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/QYYDLLVPHD6YH6B32FRFOKJZUQ \
  | 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: 863035aeaf38fd83f83bd162572939a43faace1bb903074ec4e2cc3f9011e50c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f271d0167306c9c3dd47d89e9d247c1bd278187b5b02177321af5a388f75c005",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-03T12:22:37Z",
    "title_canon_sha256": "e0e5867716e4b5fcb7ec4f50a4f6ba837a3f531079a27948cb66271a5e1ac771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0711",
    "kind": "arxiv",
    "version": 2
  }
}