Pith Number

pith:WJARGE3R

pith:2010:WJARGE3RU42A7ZWNE7WGFOVH67

not attested not anchored not stored refs pending

Isolated Singularities of Polyharmonic Inequalities

Amir Moradifam, Marius Ghergu, Steven D. Taliaferro

arxiv:1006.2756 v2 · 2010-06-14 · 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{WJARGE3RU42A7ZWNE7WGFOVH67}

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	2026-05-18T04:36:18.605151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b241131371a7340fe6cd27ec62baa7f7e1035f29bb13c6454331d6d88419fa9c

Aliases

arxiv: 1006.2756 · arxiv_version: 1006.2756v2 · doi: 10.48550/arxiv.1006.2756 · pith_short_12: WJARGE3RU42A · pith_short_16: WJARGE3RU42A7ZWN · pith_short_8: WJARGE3R

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/WJARGE3RU42A7ZWNE7WGFOVH67 \
  | 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: b241131371a7340fe6cd27ec62baa7f7e1035f29bb13c6454331d6d88419fa9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c34ea99bbe35b389e2c3b1e5f188b522f80e8c23d2c1aa9e374b1f6233548e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-14T16:30:15Z",
    "title_canon_sha256": "f8308d8b4c54ba2a5e31544c0bc7f6883c36c90bb04abd42f8819cd170eba06d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2756",
    "kind": "arxiv",
    "version": 2
  }
}