Pith Number

pith:WVCJOWX3

pith:2007:WVCJOWX3UB7JSLFKNJ2A4ZTA6F

not attested not anchored not stored refs pending

Asymptotic behavior of a fourth order mean field equation with Dirichlet boundary condition

Frederic Robert, Juncheng Wei

arxiv:0706.0615 v3 · 2007-06-05 · 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{WVCJOWX3UB7JSLFKNJ2A4ZTA6F}

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	2026-05-18T04:09:16.360851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b544975afba07e992caa6a740e6660f140ede348c759c7e2841fe6892687fca4

Aliases

arxiv: 0706.0615 · arxiv_version: 0706.0615v3 · doi: 10.48550/arxiv.0706.0615 · pith_short_12: WVCJOWX3UB7J · pith_short_16: WVCJOWX3UB7JSLFK · pith_short_8: WVCJOWX3

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/WVCJOWX3UB7JSLFKNJ2A4ZTA6F \
  | 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: b544975afba07e992caa6a740e6660f140ede348c759c7e2841fe6892687fca4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b80d69cbc277a07e5e48c6b1dc942dd6083416eaa76c14e6909734500f78b6d2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-06-05T09:45:41Z",
    "title_canon_sha256": "59f2309516637ab229f212846c96b370d51179a86146c9424f123a792adf2ffa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0615",
    "kind": "arxiv",
    "version": 3
  }
}