Pith Number

pith:33EIJ6ZP

pith:2017:33EIJ6ZP7XZLOJU4FTCEK2CBEK

not attested not anchored not stored refs pending

Hessian estimates for convex solutions to quadratic Hessian equation

Chong Song, Matt McGonagle, Yu Yuan

arxiv:1709.04598 v2 · 2017-09-14 · 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{33EIJ6ZP7XZLOJU4FTCEK2CBEK}

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	2026-05-18T00:34:54.540665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dec884fb2ffdf2b7269c2cc445684122bcd30731089b2f0d990df8d681bce4ce

Aliases

arxiv: 1709.04598 · arxiv_version: 1709.04598v2 · doi: 10.48550/arxiv.1709.04598 · pith_short_12: 33EIJ6ZP7XZL · pith_short_16: 33EIJ6ZP7XZLOJU4 · pith_short_8: 33EIJ6ZP

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/33EIJ6ZP7XZLOJU4FTCEK2CBEK \
  | 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: dec884fb2ffdf2b7269c2cc445684122bcd30731089b2f0d990df8d681bce4ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53be628f7c98628c611b8e5f0514f90bf018386d12c01cfecffbf228db9b57bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-14T02:48:13Z",
    "title_canon_sha256": "ea4867834c5f6b9d59da19b5ce1380d865a9347fc95d77601d061220a2fda3a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04598",
    "kind": "arxiv",
    "version": 2
  }
}