Pith Number

pith:QERQH7IA

pith:2022:QERQH7IAXTKLFTLIUWD5BKJ4MB

not attested not anchored not stored refs pending

Gradient estimates for elliptic systems from composite materials with closely spaced stiff $C^{1,\gamma}$ inclusions

Yan Li

arxiv:2203.15515 v1 · 2022-03-29 · 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{QERQH7IAXTKLFTLIUWD5BKJ4MB}

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	2026-07-05T04:09:26.417811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

812303fd00bcd4b2cd68a587d0a93c607faf7fd64e0da720833e4993db2c98bd

Aliases

arxiv: 2203.15515 · arxiv_version: 2203.15515v1 · doi: 10.48550/arxiv.2203.15515 · pith_short_12: QERQH7IAXTKL · pith_short_16: QERQH7IAXTKLFTLI · pith_short_8: QERQH7IA

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/QERQH7IAXTKLFTLIUWD5BKJ4MB \
  | 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: 812303fd00bcd4b2cd68a587d0a93c607faf7fd64e0da720833e4993db2c98bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d438cd53ec9078783595a4d82ed14b1b9d4259219ae5cec6f2c75f7f37e5e41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-03-29T12:57:57Z",
    "title_canon_sha256": "b8fd1db342e51fddccdb9648073c66d47a7346758e52cdd20f89fb586dcebd48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.15515",
    "kind": "arxiv",
    "version": 1
  }
}