Pith Number

pith:VACISIPT

pith:2018:VACISIPTLXRNCGKJ6AH4NAEKXV

not attested not anchored not stored refs pending

On the dispersion decay for crystals in the linearized Schr\"odinger-Poisson model

Alexander Komech, Elena Kopylova

arxiv:1808.08167 v1 · 2018-08-24 · 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{VACISIPTLXRNCGKJ6AH4NAEKXV}

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	2026-05-18T00:07:22.230193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8048921f35de2d11949f00fc6808abd4d4a5a809f061264931ce2a9362d2314

Aliases

arxiv: 1808.08167 · arxiv_version: 1808.08167v1 · doi: 10.48550/arxiv.1808.08167 · pith_short_12: VACISIPTLXRN · pith_short_16: VACISIPTLXRNCGKJ · pith_short_8: VACISIPT

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/VACISIPTLXRNCGKJ6AH4NAEKXV \
  | 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: a8048921f35de2d11949f00fc6808abd4d4a5a809f061264931ce2a9362d2314

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cde6f675dc1e6320fba508a34ba286a982eaf5f7735ca801008b239c0e1342b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-24T15:08:46Z",
    "title_canon_sha256": "74e59f7edc32ce2a9f77c1d0a4714194adb70fcde5f97266ecc85ed155f49ecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08167",
    "kind": "arxiv",
    "version": 1
  }
}