Pith Number

pith:XQ2SXXOM

pith:2019:XQ2SXXOM3TYUPGG2SO6T64O7KF

not attested not anchored not stored refs pending

Complete topological descriptions of certain Morse boundaries

Alessandro Sisto, Matthew Cordes, Ruth Charney

arxiv:1908.03542 v2 · 2019-08-09 · 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{XQ2SXXOM3TYUPGG2SO6T64O7KF}

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	2026-07-05T01:36:15.290350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc352bddccdcf14798da93bd3f71df5171d72cd65e68cc27f1525bb34cc04fec

Aliases

arxiv: 1908.03542 · arxiv_version: 1908.03542v2 · doi: 10.48550/arxiv.1908.03542 · pith_short_12: XQ2SXXOM3TYU · pith_short_16: XQ2SXXOM3TYUPGG2 · pith_short_8: XQ2SXXOM

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/XQ2SXXOM3TYUPGG2SO6T64O7KF \
  | 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: bc352bddccdcf14798da93bd3f71df5171d72cd65e68cc27f1525bb34cc04fec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59ce0414593ef68e75eac66a6c785b5285e79e28e77765abf150be5f302fe7f7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-09T17:07:19Z",
    "title_canon_sha256": "1a7857fd0a101542e4dee2904b137a6efa910cae33205e5825dc94f036a1fc11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03542",
    "kind": "arxiv",
    "version": 2
  }
}