Pith Number

pith:VBZUVX6M

pith:2012:VBZUVX6MPG54WE76YMFAQA3NZQ

not attested not anchored not stored refs pending

Homogenization of the Neumann problem for elliptic systems with periodic coefficients

Tatiana Suslina

arxiv:1212.1148 v1 · 2012-12-05 · 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{VBZUVX6MPG54WE76YMFAQA3NZQ}

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	2026-05-18T03:39:05.682746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8734adfcc79bbcb13fec30a08036dcc1dcf82706e381a5b0a575ba5f364f10c

Aliases

arxiv: 1212.1148 · arxiv_version: 1212.1148v1 · doi: 10.48550/arxiv.1212.1148 · pith_short_12: VBZUVX6MPG54 · pith_short_16: VBZUVX6MPG54WE76 · pith_short_8: VBZUVX6M

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/VBZUVX6MPG54WE76YMFAQA3NZQ \
  | 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: a8734adfcc79bbcb13fec30a08036dcc1dcf82706e381a5b0a575ba5f364f10c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4348a2ca65ac3b765ff79c8dd07741dc778996ad1820f205c2821dbfbc13d30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-05T20:23:23Z",
    "title_canon_sha256": "05d65f8ea17f1cee3507330ec9a721cd2dbdc9b9e1acf581106dbfe1e65ac4f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1148",
    "kind": "arxiv",
    "version": 1
  }
}