Pith Number

pith:XKWMHWDY

pith:2016:XKWMHWDY3S6LB4SJBHNT6XDWCH

not attested not anchored not stored refs pending

Bloch wave spectral analysis in the class of generalized Hashin-Shtrikman micro-structures

Carlos Conca, Jorge San Mart\'in, Loredana B\u{a}lilescu, Muthusamy Vanninathan, Tuhin Ghosh

arxiv:1608.07540 v1 · 2016-08-26 · 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{XKWMHWDY3S6LB4SJBHNT6XDWCH}

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	2026-05-18T01:07:52.815721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baacc3d878dcbcb0f24909db3f5c7611c12a45bf9d5d395f8b920fa24ff1cb13

Aliases

arxiv: 1608.07540 · arxiv_version: 1608.07540v1 · doi: 10.48550/arxiv.1608.07540 · pith_short_12: XKWMHWDY3S6L · pith_short_16: XKWMHWDY3S6LB4SJ · pith_short_8: XKWMHWDY

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/XKWMHWDY3S6LB4SJBHNT6XDWCH \
  | 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: baacc3d878dcbcb0f24909db3f5c7611c12a45bf9d5d395f8b920fa24ff1cb13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9ffb262a617bfabb1dd3423328c97140e326653c0ef36c1fa04ad621b51d73f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-26T18:00:10Z",
    "title_canon_sha256": "8bf6f664fe6d3690c90c15bb0508987e3225de2c7eb2cdb95b4140208a90261b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07540",
    "kind": "arxiv",
    "version": 1
  }
}