Pith Number

pith:C7VFBGXQ

pith:2017:C7VFBGXQLXPXHBUDS5KE2J3ZBE

not attested not anchored not stored refs pending

Quasi-periodic two-scale homogenisation and effective spatial dispersion in high-contrast media

Shane Cooper

arxiv:1701.05661 v4 · 2017-01-20 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7VFBGXQLXPXHBUDS5KE2J3ZBE}

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	2026-05-18T00:22:48.341171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17ea509af05ddf73868397544d27790938428d32c80a26da1706772a2cf4ef81

Aliases

arxiv: 1701.05661 · arxiv_version: 1701.05661v4 · doi: 10.48550/arxiv.1701.05661 · pith_short_12: C7VFBGXQLXPX · pith_short_16: C7VFBGXQLXPXHBUD · pith_short_8: C7VFBGXQ

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/C7VFBGXQLXPXHBUDS5KE2J3ZBE \
  | 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: 17ea509af05ddf73868397544d27790938428d32c80a26da1706772a2cf4ef81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9ca233d3722c5442c243447af3bd31cba0292039b6fa58f0e6499a28b53f9d9",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-20T02:56:15Z",
    "title_canon_sha256": "94013830f472420307d1d6facc107fc17a7792bfb0c44688b9c097f3124320a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05661",
    "kind": "arxiv",
    "version": 4
  }
}