Pith Number

pith:QTVMDIDA

pith:2020:QTVMDIDAJODSPVELV6FEHWB4OH

not attested not anchored not stored refs pending

Classification of critically fixed anti-Thurston maps

Lukas Geyer, Mikhail Hlushchanka

arxiv:2006.10788 v4 · 2020-06-18 · 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{QTVMDIDAJODSPVELV6FEHWB4OH}

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	2026-07-05T09:30:00.016936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84eac1a0604b8727d48baf8a43d83c71fd4cbb4e85ce9195e45ff80ae37ca826

Aliases

arxiv: 2006.10788 · arxiv_version: 2006.10788v4 · doi: 10.48550/arxiv.2006.10788 · pith_short_12: QTVMDIDAJODS · pith_short_16: QTVMDIDAJODSPVEL · pith_short_8: QTVMDIDA

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/QTVMDIDAJODSPVELV6FEHWB4OH \
  | 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: 84eac1a0604b8727d48baf8a43d83c71fd4cbb4e85ce9195e45ff80ae37ca826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4624b25efb7d83d68fd9d9c2b08f17d5b0a0d2bb0ca6f0990de34f87e7397830",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-06-18T18:05:00Z",
    "title_canon_sha256": "bd2814d2e8b7e1f35c436554a513e3a02e2ac333ae53aa5b14863c1f7cc9022f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.10788",
    "kind": "arxiv",
    "version": 4
  }
}