Pith Number

pith:4ZKQXIOF

pith:2018:4ZKQXIOFNB5WF4ONSSA45AM2YD

not attested not anchored not stored refs pending

Defect modes for dislocated periodic media

Alexis Drouot, Charles L. Fefferman, Michael I. Weinstein

arxiv:1810.05875 v1 · 2018-10-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZKQXIOFNB5WF4ONSSA45AM2YD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:03:26.723525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6550ba1c5687b62f1cd9481ce819ac0ed9b142ba319ec2cb39fd45a75a2afce

Aliases

arxiv: 1810.05875 · arxiv_version: 1810.05875v1 · doi: 10.48550/arxiv.1810.05875 · pith_short_12: 4ZKQXIOFNB5W · pith_short_16: 4ZKQXIOFNB5WF4ON · pith_short_8: 4ZKQXIOF

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/4ZKQXIOFNB5WF4ONSSA45AM2YD \
  | 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: e6550ba1c5687b62f1cd9481ce819ac0ed9b142ba319ec2cb39fd45a75a2afce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1a50b63dce70b1e43e6f8aa0532cc3013969285de618039ebf69aa139d79f0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-13T15:24:20Z",
    "title_canon_sha256": "a8b3f5612d8e95414d156382316eaa983990e09beb71c945edf2e050860f4fc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05875",
    "kind": "arxiv",
    "version": 1
  }
}