Pith Number

pith:NKIQOB62

pith:2018:NKIQOB625LGKGK4ZCHSXDOZDRK

not attested not anchored not stored refs pending

Schottky presentations of positive representations

Jean-Philippe Burelle, Nicolaus Treib

arxiv:1807.05286 v1 · 2018-07-13 · math.DG · 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{NKIQOB625LGKGK4ZCHSXDOZDRK}

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	2026-05-18T00:10:43.933160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a910707daeacca32b9911e571bb238abdc93d85250dca5c9f512efad1bb9a2b

Aliases

arxiv: 1807.05286 · arxiv_version: 1807.05286v1 · doi: 10.48550/arxiv.1807.05286 · pith_short_12: NKIQOB625LGK · pith_short_16: NKIQOB625LGKGK4Z · pith_short_8: NKIQOB62

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/NKIQOB625LGKGK4ZCHSXDOZDRK \
  | 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: 6a910707daeacca32b9911e571bb238abdc93d85250dca5c9f512efad1bb9a2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76675e7ac2ced4726b2715dcc387fc2a76d130d653bb046009305a73122b6718",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-07-13T21:30:44Z",
    "title_canon_sha256": "350ca351bb305a91ca2f5e17e7e6153f23202039c34ccd7be34889427ea1687a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05286",
    "kind": "arxiv",
    "version": 1
  }
}