Pith Number

pith:CN4YOGZN

pith:2018:CN4YOGZNFSLMK26HV6C7P3HG5U

not attested not anchored not stored refs pending

On type-preserving representations of the thrice punctured projective plane group

Fr\'ed\'eric Palesi, Sara Maloni, Tian Yang

arxiv:1807.08298 v1 · 2018-07-22 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CN4YOGZNFSLMK26HV6C7P3HG5U}

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	2026-05-18T00:10:08.511289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1379871b2d2c96c56bc7af85f7ece6ed27a3b66bd20ed07ef1e56ace52890653

Aliases

arxiv: 1807.08298 · arxiv_version: 1807.08298v1 · doi: 10.48550/arxiv.1807.08298 · pith_short_12: CN4YOGZNFSLM · pith_short_16: CN4YOGZNFSLMK26H · pith_short_8: CN4YOGZN

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/CN4YOGZNFSLMK26HV6C7P3HG5U \
  | 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: 1379871b2d2c96c56bc7af85f7ece6ed27a3b66bd20ed07ef1e56ace52890653

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1751627a92b8e22de98c8d4239b2bd7e72d3c5dc2195c72ab3bb612c7b87a08",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-07-22T15:22:45Z",
    "title_canon_sha256": "43a21091d07e6effe4ea4b0e7d152af59077eab9a585d04c66452d09bbca1292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08298",
    "kind": "arxiv",
    "version": 1
  }
}