Pith Number

pith:MKMQTVUS

pith:2015:MKMQTVUSJPTUZD4WJKPXUTRQTC

not attested not anchored not stored refs pending

Geometry of planar surfaces and exceptional fillings

Jessica S. Purcell, Neil R. Hoffman

arxiv:1504.01471 v4 · 2015-04-07 · 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{MKMQTVUSJPTUZD4WJKPXUTRQTC}

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	2026-05-18T00:28:47.289395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

629909d6924be74c8f964a9f7a4e30989894802a9191d33b3e4fa152412de6ef

Aliases

arxiv: 1504.01471 · arxiv_version: 1504.01471v4 · doi: 10.48550/arxiv.1504.01471 · pith_short_12: MKMQTVUSJPTU · pith_short_16: MKMQTVUSJPTUZD4W · pith_short_8: MKMQTVUS

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/MKMQTVUSJPTUZD4WJKPXUTRQTC \
  | 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: 629909d6924be74c8f964a9f7a4e30989894802a9191d33b3e4fa152412de6ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abf5fb3fec9d6cc43616ea21a8c03a5f03cd1cf52a3b8f7d44b8c6552fe6d6fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-04-07T05:08:04Z",
    "title_canon_sha256": "45f8ce90ea49f451be6e12afb6255da602f5b1bd847c3271b7c51f0d5dbdccdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01471",
    "kind": "arxiv",
    "version": 4
  }
}