Pith Number

pith:3QQPLABI

pith:2012:3QQPLABIEIHO2RIGF6I4B2E6CK

not attested not anchored not stored refs pending

Shock-free Solutions of the Compressible Euler Equations

Geng Chen, Robin Young

arxiv:1204.0460 v1 · 2012-04-02 · 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{3QQPLABIEIHO2RIGF6I4B2E6CK}

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	2026-05-18T03:58:49.264464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc20f58028220eed45062f91c0e89e12af54f5c40ad10ef558831c9afb3a05c8

Aliases

arxiv: 1204.0460 · arxiv_version: 1204.0460v1 · doi: 10.48550/arxiv.1204.0460 · pith_short_12: 3QQPLABIEIHO · pith_short_16: 3QQPLABIEIHO2RIG · pith_short_8: 3QQPLABI

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/3QQPLABIEIHO2RIGF6I4B2E6CK \
  | 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: dc20f58028220eed45062f91c0e89e12af54f5c40ad10ef558831c9afb3a05c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c2f4f835888a4829476334bd83a62207be8bdd8b43305ebaebc482f728e90e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-02T16:32:43Z",
    "title_canon_sha256": "d68ea1f147b0063cc63a99b1ae5fa3be8ab0f5ec75536510260524185ecbdead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0460",
    "kind": "arxiv",
    "version": 1
  }
}