Pith Number

pith:PULIL7UI

pith:2026:PULIL7UIOEMT7GJA7SGKM7MYF5

not attested not anchored not stored refs pending

Minimal submanifolds confined in space

Tobias Holck Colding, William P. Minicozzi II

arxiv:2605.15031 v1 · 2026-05-14 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PULIL7UIOEMT7GJA7SGKM7MYF5}

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	2026-05-17T23:38:54.582768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d1685fe8871193f9920fc8ca67d982f6d09fbcc1e2146b895ad916c354fa0cf

Aliases

arxiv: 2605.15031 · arxiv_version: 2605.15031v1 · doi: 10.48550/arxiv.2605.15031 · pith_short_12: PULIL7UIOEMT · pith_short_16: PULIL7UIOEMT7GJA · pith_short_8: PULIL7UI

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/PULIL7UIOEMT7GJA7SGKM7MYF5 \
  | 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: 7d1685fe8871193f9920fc8ca67d982f6d09fbcc1e2146b895ad916c354fa0cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "072c08411ec8594960ad27691be51e1dbc96bfb542d3e20bdab5b7d1547279b4",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-14T16:27:06Z",
    "title_canon_sha256": "7de0a153954adacefbc2741926036bd3f9abc39656b8d3a2707fdd56e4c9b78f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15031",
    "kind": "arxiv",
    "version": 1
  }
}