Pith Number

pith:NX34PYN7

pith:2012:NX34PYN7SFAPV6J3ULAHWUG7VJ

not attested not anchored not stored refs pending

Existence and uniqueness for Mean Field Equations on multiply connected domains at the critical parameter

Chang-shou Lin, Daniele Bartolucci

arxiv:1208.5228 v1 · 2012-08-26 · 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{NX34PYN7SFAPV6J3ULAHWUG7VJ}

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	2026-05-18T03:47:00.064359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6df7c7e1bf9140faf93ba2c07b50dfaa4c6f0fa15b389a77d894f04aa8ad0a48

Aliases

arxiv: 1208.5228 · arxiv_version: 1208.5228v1 · doi: 10.48550/arxiv.1208.5228 · pith_short_12: NX34PYN7SFAP · pith_short_16: NX34PYN7SFAPV6J3 · pith_short_8: NX34PYN7

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/NX34PYN7SFAPV6J3ULAHWUG7VJ \
  | 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: 6df7c7e1bf9140faf93ba2c07b50dfaa4c6f0fa15b389a77d894f04aa8ad0a48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "111f1299e1cf74d7bf578760c9c0fc8cf9466cb89536629cfd546d0aaaa3ac6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-26T15:22:54Z",
    "title_canon_sha256": "3d8cffcedac97f674eb827ec5e38e49aa5e9d4c058f4230fc9100b5cd074c26f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5228",
    "kind": "arxiv",
    "version": 1
  }
}