Pith Number

pith:MGEJ2MHT

pith:2016:MGEJ2MHTRNPOK3OQYVZNDYTHA7

not attested not anchored not stored refs pending

Cell averaging two-scale convergence: Applications to periodic homogenization

Fran\c{c}ois Alouges, Giovanni Di Fratta

arxiv:1607.04872 v2 · 2016-07-17 · math.AP · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGEJ2MHTRNPOK3OQYVZNDYTHA7}

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	2026-05-18T01:10:46.975182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61889d30f38b5ee56dd0c572d1e26707d37049f4ab08a34f1934ae8d2a64debd

Aliases

arxiv: 1607.04872 · arxiv_version: 1607.04872v2 · doi: 10.48550/arxiv.1607.04872 · pith_short_12: MGEJ2MHTRNPO · pith_short_16: MGEJ2MHTRNPOK3OQ · pith_short_8: MGEJ2MHT

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/MGEJ2MHTRNPOK3OQYVZNDYTHA7 \
  | 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: 61889d30f38b5ee56dd0c572d1e26707d37049f4ab08a34f1934ae8d2a64debd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "229d0a25dbf0b7136ba85962b1897f620ba8ed6eb87585b3612813398f4c4d80",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-17T13:50:04Z",
    "title_canon_sha256": "0a2aacf827b258e8c62f0a94f3a4a82666efd1b75ffe0271c0c3ce7c0290e441"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04872",
    "kind": "arxiv",
    "version": 2
  }
}