Pith Number

pith:BIROJTQQ

pith:2019:BIROJTQQK4BMHC7YSWM4BEBRO5

not attested not anchored not stored refs pending

Effective Rankine-Hugoniot conditions for shock waves in periodic media

David I. Ketcheson, Manuel Quezada de Luna

arxiv:1909.04937 v2 · 2019-09-11 · math.AP · physics.comp-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{BIROJTQQK4BMHC7YSWM4BEBRO5}

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	2026-07-05T01:33:17.691884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a22e4ce105702c38bf89599c09031775c9dc7d9053b9b3c3e27e5ae49309f80

Aliases

arxiv: 1909.04937 · arxiv_version: 1909.04937v2 · doi: 10.48550/arxiv.1909.04937 · pith_short_12: BIROJTQQK4BM · pith_short_16: BIROJTQQK4BMHC7Y · pith_short_8: BIROJTQQ

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/BIROJTQQK4BMHC7YSWM4BEBRO5 \
  | 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: 0a22e4ce105702c38bf89599c09031775c9dc7d9053b9b3c3e27e5ae49309f80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf72aa61fc9bc6a0de08914251fd9edee12b9c7eab858d3843bbb2921bffef11",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-09-11T09:28:19Z",
    "title_canon_sha256": "e18ec8ae8a80ecfd8f54431408106a81e77ab1362e69ac993004f2b0d38a6713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.04937",
    "kind": "arxiv",
    "version": 2
  }
}