Pith Number

pith:CP6V7DOQ

pith:2019:CP6V7DOQHID74FHXC6BKM7FOSR

not attested not anchored not stored refs pending

Dynamics on the Morse Boundary

Qing Liu

arxiv:1905.01404 v1 · 2019-05-04 · 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{CP6V7DOQHID74FHXC6BKM7FOSR}

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.

Cited by

1 paper in Pith

Complete topological descriptions of certain Morse boundaries

Receipt and verification

First computed	2026-05-17T23:47:00.773329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13fd5f8dd03a07fe14f71782a67cae94595b2d17e7b27ac341ce494df87a8854

Aliases

arxiv: 1905.01404 · arxiv_version: 1905.01404v1 · doi: 10.48550/arxiv.1905.01404 · pith_short_12: CP6V7DOQHID7 · pith_short_16: CP6V7DOQHID74FHX · pith_short_8: CP6V7DOQ

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/CP6V7DOQHID74FHXC6BKM7FOSR \
  | 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: 13fd5f8dd03a07fe14f71782a67cae94595b2d17e7b27ac341ce494df87a8854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c881e454a409e37c70c8a99f2283fb51b131dde9ceaecadeebc1c35b3ad2926c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-05-04T01:21:35Z",
    "title_canon_sha256": "582bd40419e287a32f4e0a5fecfccb09c7cbf6d7e63321ab66169167d4894237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01404",
    "kind": "arxiv",
    "version": 1
  }
}