Pith Number

pith:7A7C5IXV

pith:2013:7A7C5IXVPUR5E66KMDC2X6XQJ6

not attested not anchored not stored refs pending

Boundary gradient estimates for parabolic and elliptic systems from linear laminates

Hongjie Dong, Jingang Xiong

arxiv:1312.4219 v1 · 2013-12-16 · 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{7A7C5IXVPUR5E66KMDC2X6XQJ6}

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	2026-05-18T01:23:09.055286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f83e2ea2f57d23d27bca60c5abfaf04fba9c40f9897eb876d9e2d7079f5c3580

Aliases

arxiv: 1312.4219 · arxiv_version: 1312.4219v1 · doi: 10.48550/arxiv.1312.4219 · pith_short_12: 7A7C5IXVPUR5 · pith_short_16: 7A7C5IXVPUR5E66K · pith_short_8: 7A7C5IXV

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/7A7C5IXVPUR5E66KMDC2X6XQJ6 \
  | 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: f83e2ea2f57d23d27bca60c5abfaf04fba9c40f9897eb876d9e2d7079f5c3580

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46d8b0c18f2beea49faad1935f9f5c18d96b6c5ef082ce3cc2c2827ddb111422",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-16T01:18:36Z",
    "title_canon_sha256": "02697922c17691d5051fccf21325a3ff97846163ef34cf11db696ca339a68498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4219",
    "kind": "arxiv",
    "version": 1
  }
}