Pith Number

pith:ETSZFFDJ

pith:2014:ETSZFFDJHPHZFAWWOG2WPLWO3O

not attested not anchored not stored refs pending

Roots, Schottky semigroups, and a proof of Bandt's Conjecture

Alden Walker, Danny Calegari, Sarah Koch

arxiv:1410.8542 v1 · 2014-10-30 · math.DS · math.CV · 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{ETSZFFDJHPHZFAWWOG2WPLWO3O}

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	2026-05-18T01:10:54.598484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24e59294693bcf9282d671b567aecedb889b9ff7509db14755137d3076209fba

Aliases

arxiv: 1410.8542 · arxiv_version: 1410.8542v1 · doi: 10.48550/arxiv.1410.8542 · pith_short_12: ETSZFFDJHPHZ · pith_short_16: ETSZFFDJHPHZFAWW · pith_short_8: ETSZFFDJ

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/ETSZFFDJHPHZFAWWOG2WPLWO3O \
  | 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: 24e59294693bcf9282d671b567aecedb889b9ff7509db14755137d3076209fba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6544b753b3b5642ad608fc53a6d3081903afbf8072d78ddde7bac707ae285001",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-10-30T20:14:50Z",
    "title_canon_sha256": "d7445a319d8b23386d516526fd42dc1301d95201eb9c9c62dc5092e1bf03e28a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8542",
    "kind": "arxiv",
    "version": 1
  }
}