Pith Number

pith:AILUJX64

pith:2010:AILUJX64OPEUE2OW27ETFDOLVT

not attested not anchored not stored refs pending

Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions

J\'er\^ome Le Rousseau, Nicolas Lerner

arxiv:1012.3212 v1 · 2010-12-15 · 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{AILUJX64OPEUE2OW27ETFDOLVT}

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	2026-05-18T01:22:29.154845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

021744dfdc73c94269d6d7c9328dcbacc0cddbf41a97f2a5737313a274f3d703

Aliases

arxiv: 1012.3212 · arxiv_version: 1012.3212v1 · doi: 10.48550/arxiv.1012.3212 · pith_short_12: AILUJX64OPEU · pith_short_16: AILUJX64OPEUE2OW · pith_short_8: AILUJX64

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/AILUJX64OPEUE2OW27ETFDOLVT \
  | 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: 021744dfdc73c94269d6d7c9328dcbacc0cddbf41a97f2a5737313a274f3d703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e692b4cd91c7236ead6f7f2eba921c6c2dc34f22f00309b26788f545378bf097",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-15T02:10:32Z",
    "title_canon_sha256": "e03227948a990e759075f46a042559760264b100673dd70dc54978d28cddb30d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3212",
    "kind": "arxiv",
    "version": 1
  }
}