Pith Number

pith:L7PRW6GE

pith:2015:L7PRW6GEEKMJ7JVXHIEKFISA72

not attested not anchored not stored refs pending

Classification of trisections and the Generalized Property R Conjecture

Alexander Zupan, Jeffrey Meier, Trent Schirmer

arxiv:1507.06561 v1 · 2015-07-23 · 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{L7PRW6GEEKMJ7JVXHIEKFISA72}

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	2026-05-18T00:38:36.716565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fdf1b78c422989fa6b73a08a2a240fe94dfb36a0ce1e59297c08e9ffab9559d

Aliases

arxiv: 1507.06561 · arxiv_version: 1507.06561v1 · doi: 10.48550/arxiv.1507.06561 · pith_short_12: L7PRW6GEEKMJ · pith_short_16: L7PRW6GEEKMJ7JVX · pith_short_8: L7PRW6GE

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/L7PRW6GEEKMJ7JVXHIEKFISA72 \
  | 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: 5fdf1b78c422989fa6b73a08a2a240fe94dfb36a0ce1e59297c08e9ffab9559d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e65434bbaf9fe40969ad223bfc7b4d0cdb70cf5e8074265b067fea2c17e3ada2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-07-23T16:51:31Z",
    "title_canon_sha256": "b0cd344e51d3b7847e81baefd67199cb19ef4769c9fb802441f59dc270baa833"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06561",
    "kind": "arxiv",
    "version": 1
  }
}