Pith Number

pith:NPTUZMCK

pith:2006:NPTUZMCKXS4IMB446K2AP2XQOR

not attested not anchored not stored refs pending

Hemispherical transport equation: modeling of quasiparallel collisionless shocks

V.N.Zirakashvili

arxiv:astro-ph/0612715 v1 · 2006-12-23 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPTUZMCKXS4IMB446K2AP2XQOR}

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	2026-07-04T16:59:54.326305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6be74cb04abcb886079cf2b407eaf0745b5d8b0d2cbca9adc3a4c85e4cf9fcde

Aliases

arxiv: astro-ph/0612715 · arxiv_version: astro-ph/0612715v1 · doi: 10.48550/arxiv.astro-ph/0612715 · pith_short_12: NPTUZMCKXS4I · pith_short_16: NPTUZMCKXS4IMB44 · pith_short_8: NPTUZMCK

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/NPTUZMCKXS4IMB446K2AP2XQOR \
  | 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: 6be74cb04abcb886079cf2b407eaf0745b5d8b0d2cbca9adc3a4c85e4cf9fcde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adc57154a0878f74016c43bbe50c20abc6e42d9775506b90c7818ec538094bf0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-12-23T16:38:45Z",
    "title_canon_sha256": "af45fcff192c002b0ac79ccfb4421b1bff2b7fbccc0e06dcfa1f9749dfde516e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0612715",
    "kind": "arxiv",
    "version": 1
  }
}