Pith Number

pith:SDSDUBVR

pith:2018:SDSDUBVR2KS4EJ2MABILTC5X7N

not attested not anchored not stored refs pending

Precised approximations in elliptic homogenization beyond the periodic setting

Claude Le Bris (ENPC), Marc Josien (ENPC), Xavier Blanc (UPD7)

arxiv:1812.07220 v1 · 2018-12-18 · math.AP · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SDSDUBVR2KS4EJ2MABILTC5X7N}

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	2026-05-17T23:58:01.126721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90e43a06b1d2a5c2274c0050b98bb7fb5c63226470a440fd1de16ee50f028067

Aliases

arxiv: 1812.07220 · arxiv_version: 1812.07220v1 · doi: 10.48550/arxiv.1812.07220 · pith_short_12: SDSDUBVR2KS4 · pith_short_16: SDSDUBVR2KS4EJ2M · pith_short_8: SDSDUBVR

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/SDSDUBVR2KS4EJ2MABILTC5X7N \
  | 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: 90e43a06b1d2a5c2274c0050b98bb7fb5c63226470a440fd1de16ee50f028067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7b151743a3c1b5f015d6476b73b0b27409f0d55ffe8833ef0ceb96a45fc2d6c",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-18T08:08:18Z",
    "title_canon_sha256": "9a2a660a7799b2a4569e644fa70ced8b3c8246e68a07d0d5e9554e9624807c4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07220",
    "kind": "arxiv",
    "version": 1
  }
}