Pith Number

pith:CMGHDISN

pith:2014:CMGHDISNMGOWU6XJU4TZVDAJ2D

not attested not anchored not stored refs pending

Singularity formation for compressible Euler equations

Geng Chen, Ronghua Pan, Shengguo Zhu

arxiv:1408.6775 v3 · 2014-08-28 · 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{CMGHDISNMGOWU6XJU4TZVDAJ2D}

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	2026-05-18T00:58:55.723228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

130c71a24d619d6a7ae9a7279a8c09d0e54e43f4fd04f26ef5f2179ccfb7b240

Aliases

arxiv: 1408.6775 · arxiv_version: 1408.6775v3 · doi: 10.48550/arxiv.1408.6775 · pith_short_12: CMGHDISNMGOW · pith_short_16: CMGHDISNMGOWU6XJ · pith_short_8: CMGHDISN

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/CMGHDISNMGOWU6XJU4TZVDAJ2D \
  | 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: 130c71a24d619d6a7ae9a7279a8c09d0e54e43f4fd04f26ef5f2179ccfb7b240

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b3c540efd62e9b16bb423e5a60dc87a7b2f2c6c188ee67e92fd4f4ad105f08a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-08-28T16:54:57Z",
    "title_canon_sha256": "7a0eb2ac05cc07db81d8236853afb0d579d14b57ec3a6960d2def02c856f839f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6775",
    "kind": "arxiv",
    "version": 3
  }
}