Pith Number

pith:V34TM3XJ

pith:2015:V34TM3XJORZBVVRD7ONCLWBSXD

not attested not anchored not stored refs pending

Dynamics on the graph of the torus parametrisation

Christoph Richard, Gerhard Keller

arxiv:1511.06137 v3 · 2015-11-19 · 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{V34TM3XJORZBVVRD7ONCLWBSXD}

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	2026-05-18T00:22:21.358110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aef9366ee974721ad623fb9a25d832b8e14e28805d9e043d71197b024fbebba1

Aliases

arxiv: 1511.06137 · arxiv_version: 1511.06137v3 · doi: 10.48550/arxiv.1511.06137 · pith_short_12: V34TM3XJORZB · pith_short_16: V34TM3XJORZBVVRD · pith_short_8: V34TM3XJ

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/V34TM3XJORZBVVRD7ONCLWBSXD \
  | 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: aef9366ee974721ad623fb9a25d832b8e14e28805d9e043d71197b024fbebba1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6938607366a3f93eecc15737abf5878dbf6e01515f75f89df395a683bc485e8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-19T12:32:50Z",
    "title_canon_sha256": "1f644c6281bf63f46c7595b62da61f3b14b75b2ce5360ead00a99d2cb7756af5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06137",
    "kind": "arxiv",
    "version": 3
  }
}