Pith Number

pith:5NK32V7U

pith:2011:5NK32V7UWBAVXWYI3SM4KFABA5

not attested not anchored not stored refs pending

Evolution of Weak Shocks in One Dimensional Planar and Non-planar Gasdynamic Flows

Raghavendra Venkatraman, Vishnu D. Sharma

arxiv:1112.1153 v3 · 2011-12-06 · math.AP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5NK32V7UWBAVXWYI3SM4KFABA5}

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	2026-05-18T02:54:28.170526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb55bd57f4b0415bdb08dc99c5140107454bb1bbbe86554c5e6a2e83d40af5a9

Aliases

arxiv: 1112.1153 · arxiv_version: 1112.1153v3 · doi: 10.48550/arxiv.1112.1153 · pith_short_12: 5NK32V7UWBAV · pith_short_16: 5NK32V7UWBAVXWYI · pith_short_8: 5NK32V7U

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/5NK32V7UWBAVXWYI3SM4KFABA5 \
  | 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: eb55bd57f4b0415bdb08dc99c5140107454bb1bbbe86554c5e6a2e83d40af5a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ce0da357bc00ca6414f33572f0517dffe1170f6770940cd9dd39c608fb6dfd2",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-06T04:07:36Z",
    "title_canon_sha256": "5fa73b9bbaab80a0bcd94cd10913de7229f88db75a3cbaedcca672b24e66de9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1153",
    "kind": "arxiv",
    "version": 3
  }
}