Pith Number

pith:43XSRTJH

pith:2024:43XSRTJHETRFWTIZHP3QFVCGKS

not attested not anchored not stored refs pending

About non-uniqueness when removing closed orbits in Morse-Smale vector fields

Clemens Bannwart

arxiv:2410.02363 v1 · 2024-10-03 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{43XSRTJHETRFWTIZHP3QFVCGKS}

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	2026-07-05T09:15:19.794253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6ef28cd2724e25b4d193bf702d44654a0d069801f1a611bb11ed7fd3ccf376a

Aliases

arxiv: 2410.02363 · arxiv_version: 2410.02363v1 · doi: 10.48550/arxiv.2410.02363 · pith_short_12: 43XSRTJHETRF · pith_short_16: 43XSRTJHETRFWTIZ · pith_short_8: 43XSRTJH

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/43XSRTJHETRFWTIZHP3QFVCGKS \
  | 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: e6ef28cd2724e25b4d193bf702d44654a0d069801f1a611bb11ed7fd3ccf376a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d67d6b2fee4b3b61141b9c21dee76bcd7c3982641ef1f393aae67c445dd9bbfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-10-03T10:23:38Z",
    "title_canon_sha256": "f6e729e859120df850bc4951b4d329ccd9a6f747277b8179d7a4ae89004b08b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.02363",
    "kind": "arxiv",
    "version": 1
  }
}