Pith Number

pith:JJ272HRQ

pith:2014:JJ272HRQKPOU2C5JT7YVW4JBAW

not attested not anchored not stored refs pending

Local solvability of the $k$-Hessian equations

C.-J Xu (LMRS), G Tian, Qi Wang

arxiv:1412.3291 v2 · 2014-12-10 · 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{JJ272HRQKPOU2C5JT7YVW4JBAW}

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	2026-05-18T02:31:20.226111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a75fd1e3053dd4d0ba99ff15b7121058bef8c6ddfe3dbb23bb437cd15790823

Aliases

arxiv: 1412.3291 · arxiv_version: 1412.3291v2 · doi: 10.48550/arxiv.1412.3291 · pith_short_12: JJ272HRQKPOU · pith_short_16: JJ272HRQKPOU2C5J · pith_short_8: JJ272HRQ

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/JJ272HRQKPOU2C5JT7YVW4JBAW \
  | 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: 4a75fd1e3053dd4d0ba99ff15b7121058bef8c6ddfe3dbb23bb437cd15790823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb586964b0629e0b369d2aa2a746859442ce4a004f908077fd6fcd82a6a15101",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-10T12:58:48Z",
    "title_canon_sha256": "d1ca6dc950636e2332943ee0056dba67c89d21797813640df2b1d74b709de219"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3291",
    "kind": "arxiv",
    "version": 2
  }
}