Pith Number

pith:ZT2Z63U5

pith:2012:ZT2Z63U5RWQZW6DRX3SHOUMDV3

not attested not anchored not stored refs pending

An obstacle problem for a class of Monge-Amp\`ere type functionals

Bin Zhou, Jiakun Liu

arxiv:1204.1788 v1 · 2012-04-09 · 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{ZT2Z63U5RWQZW6DRX3SHOUMDV3}

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	2026-05-18T03:58:15.191200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccf59f6e9d8da19b7871bee4775183aed135d9e2a6e2670e640bae136f4ad834

Aliases

arxiv: 1204.1788 · arxiv_version: 1204.1788v1 · doi: 10.48550/arxiv.1204.1788 · pith_short_12: ZT2Z63U5RWQZ · pith_short_16: ZT2Z63U5RWQZW6DR · pith_short_8: ZT2Z63U5

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/ZT2Z63U5RWQZW6DRX3SHOUMDV3 \
  | 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: ccf59f6e9d8da19b7871bee4775183aed135d9e2a6e2670e640bae136f4ad834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93fc21b50afda77b4a9a69b928b8ac5f7ac19e08977482b444c47c80dc9eda0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-09T03:30:54Z",
    "title_canon_sha256": "041a924ecaf8bc6b978d1f46bc549a001b0acd850685d863571b3eb40c033bd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1788",
    "kind": "arxiv",
    "version": 1
  }
}