Pith Number

pith:MX6ENNNB

pith:2026:MX6ENNNBNB7RAKO4T3Q3NP44SE

not attested not anchored not stored refs pending

Smooth stable isotopy of topologically isotopic surfaces

Daniel Galvin, Mark Powell, Patrick Orson

arxiv:2606.06299 v1 · 2026-06-04 · 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{MX6ENNNBNB7RAKO4T3Q3NP44SE}

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	2026-06-05T01:15:40.970427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65fc46b5a1687f1029dc9ee1b6bf9c911323c5e3a59fa2a3da7a481ac03cc984

Aliases

arxiv: 2606.06299 · arxiv_version: 2606.06299v1 · doi: 10.48550/arxiv.2606.06299 · pith_short_12: MX6ENNNBNB7R · pith_short_16: MX6ENNNBNB7RAKO4 · pith_short_8: MX6ENNNB

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/MX6ENNNBNB7RAKO4T3Q3NP44SE \
  | 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: 65fc46b5a1687f1029dc9ee1b6bf9c911323c5e3a59fa2a3da7a481ac03cc984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d89b901a3e6a10a4afb7efd9e9c601005c4bee6cb0cf7177d8c955b5765cb3e3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-04T15:37:38Z",
    "title_canon_sha256": "9f00629d64d17973accab54be0711e44e8c44bd8e36b1d2a33176be6600afc96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06299",
    "kind": "arxiv",
    "version": 1
  }
}