Pith Number

pith:U7AYT7VY

pith:2015:U7AYT7VYY6MZ57DCZD6BZLGRIT

not attested not anchored not stored refs pending

Closed and transitive transformation groups of a surface

Ferry Kwakkel

arxiv:1502.04111 v1 · 2015-02-13 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7AYT7VYY6MZ57DCZD6BZLGRIT}

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	2026-05-18T02:25:40.679965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7c189feb8c7999efc62c8fc1cacd144e097bdf09c5d7b0966ee1219f93e1a04

Aliases

arxiv: 1502.04111 · arxiv_version: 1502.04111v1 · doi: 10.48550/arxiv.1502.04111 · pith_short_12: U7AYT7VYY6MZ · pith_short_16: U7AYT7VYY6MZ57DC · pith_short_8: U7AYT7VY

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/U7AYT7VYY6MZ57DCZD6BZLGRIT \
  | 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: a7c189feb8c7999efc62c8fc1cacd144e097bdf09c5d7b0966ee1219f93e1a04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "861188d80a6230aacda19854236994b6e83379d0ebb3603108cfabaf68702b90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-02-13T20:41:58Z",
    "title_canon_sha256": "68543bd236003fb1224cfa47e81357cd6f0cf69b496d3b0924f726da94909517"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04111",
    "kind": "arxiv",
    "version": 1
  }
}