Pith Number

pith:TLBXYHNC

pith:2009:TLBXYHNC6HO7GG6R7D2MLJVAPF

not attested not anchored not stored refs pending

The critical dimension for a 4th order problem with singular nonlinearity

Amir Moradifam, Craig Cowan, Nassif Ghoussoub, Pierpaolo Esposito

arxiv:0904.2414 v1 · 2009-04-15 · 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{TLBXYHNC6HO7GG6R7D2MLJVAPF}

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	2026-05-18T02:13:59.975732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ac37c1da2f1ddf31bd1f8f4c5a6a0796dc96288f74f54f4953b990116f47669

Aliases

arxiv: 0904.2414 · arxiv_version: 0904.2414v1 · doi: 10.48550/arxiv.0904.2414 · pith_short_12: TLBXYHNC6HO7 · pith_short_16: TLBXYHNC6HO7GG6R · pith_short_8: TLBXYHNC

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/TLBXYHNC6HO7GG6R7D2MLJVAPF \
  | 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: 9ac37c1da2f1ddf31bd1f8f4c5a6a0796dc96288f74f54f4953b990116f47669

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccbc920d573c95560dad2e04e176d3d02769a6d0fc536c2cc18c2634b9154dc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-04-15T23:27:01Z",
    "title_canon_sha256": "8c2b9c64e58364eaccc2e399a128c4c3dc94790c8f4f4d84abb24b0d28dfd93d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2414",
    "kind": "arxiv",
    "version": 1
  }
}