Pith Number

pith:6KUQMRJO

pith:2025:6KUQMRJOD3NEM5FC56WM7N4I3G

not attested not anchored not stored refs pending

An Invariant for Triple-Point-Free Immersed Spheres

Jona Seidel

arxiv:2506.21130 v2 · 2025-06-26 · 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{6KUQMRJOD3NEM5FC56WM7N4I3G}

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

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow

Receipt and verification

First computed	2026-07-05T11:30:02.738270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2a906452e1eda4674a2efaccfb788d9a879de29d3bf9b4b806197e316bec5be

Aliases

arxiv: 2506.21130 · arxiv_version: 2506.21130v2 · doi: 10.48550/arxiv.2506.21130 · pith_short_12: 6KUQMRJOD3NE · pith_short_16: 6KUQMRJOD3NEM5FC · pith_short_8: 6KUQMRJO

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/6KUQMRJOD3NEM5FC56WM7N4I3G \
  | 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: f2a906452e1eda4674a2efaccfb788d9a879de29d3bf9b4b806197e316bec5be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8428dd00dd52065935b16cc6e169f50fcad485f287c69082db155df831dafe81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-06-26T10:12:30Z",
    "title_canon_sha256": "f1ba3580da90bb303e93df365bc92dbb09322e3c289cf3bba8e194a074ba85b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21130",
    "kind": "arxiv",
    "version": 2
  }
}