Pith Number

pith:2AJ2KXXE

pith:2026:2AJ2KXXE7AA357KJ64I7O2AQEO

not attested not anchored not stored refs pending

Singularity of Cannon-Thurston maps

Caglar Uyanik, Catherine Pfaff, Joseph Maher, Vaibhav Gadre

arxiv:2607.08923 v1 · 2026-07-07 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2AJ2KXXE7AA357KJ64I7O2AQEO}

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	2026-07-13T00:17:27.195640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d013a55ee4f801befd49f711f7681023ae48cdfc1299e8518e15dec725699b83

Aliases

arxiv: 2607.08923 · arxiv_version: 2607.08923v1 · doi: 10.48550/arxiv.2607.08923 · pith_short_12: 2AJ2KXXE7AA3 · pith_short_16: 2AJ2KXXE7AA357KJ · pith_short_8: 2AJ2KXXE

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/2AJ2KXXE7AA357KJ64I7O2AQEO \
  | 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: d013a55ee4f801befd49f711f7681023ae48cdfc1299e8518e15dec725699b83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed752bc6220d992367717fd81ddde4ae74d550636f35d3c2364f289b59b801bf",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-07T23:45:19Z",
    "title_canon_sha256": "348c77c332350e03673ffd5a297fd481a7f2b85955cc842f5088d31f0ba4e629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08923",
    "kind": "arxiv",
    "version": 1
  }
}