Pith Number

pith:GOE7O7AT

pith:2019:GOE7O7AT6YN3NGEGQZUBLDX64L

not attested not anchored not stored refs pending

Hessian estimates for non-divergence form elliptic equations arising from composite materials

Hongjie Dong, Longjuan Xu

arxiv:1904.10950 v1 · 2019-04-24 · 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{GOE7O7AT6YN3NGEGQZUBLDX64L}

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	2026-05-17T23:47:49.599586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3389f77c13f61bb698868668158efee2d38f234cac4fce5186b3fd22f7ae015e

Aliases

arxiv: 1904.10950 · arxiv_version: 1904.10950v1 · doi: 10.48550/arxiv.1904.10950 · pith_short_12: GOE7O7AT6YN3 · pith_short_16: GOE7O7AT6YN3NGEG · pith_short_8: GOE7O7AT

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/GOE7O7AT6YN3NGEGQZUBLDX64L \
  | 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: 3389f77c13f61bb698868668158efee2d38f234cac4fce5186b3fd22f7ae015e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea1154345ea22c1863cfd418e716589570095a5caa6e75031732320308f19596",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-24T17:45:14Z",
    "title_canon_sha256": "ff2092a008b634b87326ea7ae8d905725ee78f788730befb8d9c043ec4006962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.10950",
    "kind": "arxiv",
    "version": 1
  }
}