Pith Number

pith:IBANHFQT

pith:2010:IBANHFQT23HHA27B6VGKJHVTRZ

not attested not anchored not stored refs pending

Lower bounds for nodal sets of eigenfunctions

Tobias H. Colding, William P. Minicozzi II

arxiv:1009.4156 v2 · 2010-09-21 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IBANHFQT23HHA27B6VGKJHVTRZ}

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	2026-05-18T02:05:19.141697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4040d39613d6ce706be1f54ca49eb38e4fe56016e829f71b82ad2b1d818f4ae9

Aliases

arxiv: 1009.4156 · arxiv_version: 1009.4156v2 · doi: 10.48550/arxiv.1009.4156 · pith_short_12: IBANHFQT23HH · pith_short_16: IBANHFQT23HHA27B · pith_short_8: IBANHFQT

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/IBANHFQT23HHA27B6VGKJHVTRZ \
  | 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: 4040d39613d6ce706be1f54ca49eb38e4fe56016e829f71b82ad2b1d818f4ae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b13f41a169600a3cad24088d5fbe3008ea2dd3558ee66b380e9d81ea20df9b8",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-21T17:38:59Z",
    "title_canon_sha256": "5cf13bc2d4f3fb9d9605ad37ef5168d5958449ec1d5c797ba897a4de8869ac5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4156",
    "kind": "arxiv",
    "version": 2
  }
}