Pith Number

pith:BKQYS7XD

pith:2013:BKQYS7XDHSIMBF6IVAULX5M36Y

not attested not anchored not stored refs pending

Estimates on elliptic equations that hold only where the gradient is large

Cyril Imbert (LAMA), Luis Silvestre

arxiv:1306.2429 v3 · 2013-06-11 · 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{BKQYS7XDHSIMBF6IVAULX5M36Y}

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	2026-05-18T01:15:24.296804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa1897ee33c90c097c8a828bbf59bf6366ec3e49f7b1c2bc7fada6e05f5a853

Aliases

arxiv: 1306.2429 · arxiv_version: 1306.2429v3 · doi: 10.48550/arxiv.1306.2429 · pith_short_12: BKQYS7XDHSIM · pith_short_16: BKQYS7XDHSIMBF6I · pith_short_8: BKQYS7XD

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/BKQYS7XDHSIMBF6IVAULX5M36Y \
  | 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: 0aa1897ee33c90c097c8a828bbf59bf6366ec3e49f7b1c2bc7fada6e05f5a853

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b2f0bec24ef80b7f51bc9ce409d5ae41ddd1f62d24bf50a236ab51799983b9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-11T06:23:13Z",
    "title_canon_sha256": "84fcfbe34c9d5767a6d0b51dafce5a80c2fd7ff769d1d656c8ad364f7a87df48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2429",
    "kind": "arxiv",
    "version": 3
  }
}