Pith Number

pith:M2554FQJ

pith:2017:M2554FQJX33XEUZ53DFSSOTHLL

not attested not anchored not stored refs pending

An introduction to the qualitative and quantitative theory of homogenization

Stefan Neukamm

arxiv:1707.08992 v2 · 2017-07-27 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M2554FQJX33XEUZ53DFSSOTHLL}

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	2026-05-18T00:33:58.694471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66bbde1609bef772533dd8cb293a675ac0459aa3f436dbc4bd3c3db59de3f0dc

Aliases

arxiv: 1707.08992 · arxiv_version: 1707.08992v2 · doi: 10.48550/arxiv.1707.08992 · pith_short_12: M2554FQJX33X · pith_short_16: M2554FQJX33XEUZ5 · pith_short_8: M2554FQJ

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/M2554FQJX33XEUZ53DFSSOTHLL \
  | 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: 66bbde1609bef772533dd8cb293a675ac0459aa3f436dbc4bd3c3db59de3f0dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d35c7d67ec567d787b919cae1d28bfe12c48cb13cc6b80faf31a2ab6179b5761",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-27T18:31:01Z",
    "title_canon_sha256": "0c74b6af154711f28d5a6941e37a5d1ff81dd137650abd27c72cf4638fe5d263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08992",
    "kind": "arxiv",
    "version": 2
  }
}