Pith Number

pith:VMNS7P2P

pith:2012:VMNS7P2PPMJYV5DNISOKN63ANE

not attested not anchored not stored refs pending

Nonnegative solutions with a nontrivial nodal set for elliptic equations on smooth symmetric domains

Peter Polacik, Susanna Terracini

arxiv:1205.1213 v1 · 2012-05-06 · 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{VMNS7P2PPMJYV5DNISOKN63ANE}

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	2026-05-18T03:56:11.780157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab1b2fbf4f7b138af46d449ca6fb60693fe4a679cd640980b810c84a0cbcd748

Aliases

arxiv: 1205.1213 · arxiv_version: 1205.1213v1 · doi: 10.48550/arxiv.1205.1213 · pith_short_12: VMNS7P2PPMJY · pith_short_16: VMNS7P2PPMJYV5DN · pith_short_8: VMNS7P2P

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/VMNS7P2PPMJYV5DNISOKN63ANE \
  | 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: ab1b2fbf4f7b138af46d449ca6fb60693fe4a679cd640980b810c84a0cbcd748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64a544bddc16ccabf393af73e4b0bd8b7ca208e70145093bc57b0d562f63e6f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-06T12:34:20Z",
    "title_canon_sha256": "707baaa982e4df5721d0ceb422160e7630602e7eac422e524c5bc0c81c673d4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1213",
    "kind": "arxiv",
    "version": 1
  }
}