Pith Number

pith:WLQ3QYKQ

pith:2016:WLQ3QYKQASBTKMROTJ2AERZQLX

not attested not anchored not stored refs pending

Pappus Theorem, Schwartz Representations and Anosov Representations

Gye-Seon Lee, Thierry Barbot, Viviane Pardini Val\'erio

arxiv:1610.04049 v2 · 2016-10-13 · math.DS · math.GT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLQ3QYKQASBTKMROTJ2AERZQLX}

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	2026-05-18T00:24:22.765717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2e1b86150048335322e9a740247305dec9170b6bbc0526716ca76586cd7f725

Aliases

arxiv: 1610.04049 · arxiv_version: 1610.04049v2 · doi: 10.48550/arxiv.1610.04049 · pith_short_12: WLQ3QYKQASBT · pith_short_16: WLQ3QYKQASBTKMRO · pith_short_8: WLQ3QYKQ

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/WLQ3QYKQASBTKMROTJ2AERZQLX \
  | 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: b2e1b86150048335322e9a740247305dec9170b6bbc0526716ca76586cd7f725

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df88e53d5e86ae135bc3ca9f18627cd13f954130dd3fe6975360bf69e402d6b8",
    "cross_cats_sorted": [
      "math.GT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-13T12:37:36Z",
    "title_canon_sha256": "dcae66b6b04f28d4e091ba83dfb4a8d57f28a0b208184f1127f561a6696fa4d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04049",
    "kind": "arxiv",
    "version": 2
  }
}