Pith Number

pith:OM2CUXD3

pith:2015:OM2CUXD35UO6J5LHBKGSMTRM7E

not attested not anchored not stored refs pending

Optimal time-dependent lower bound on density for classical solutions of 1-D compressible Euler equations

Geng Chen

arxiv:1508.04337 v2 · 2015-08-18 · 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{OM2CUXD35UO6J5LHBKGSMTRM7E}

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	2026-05-18T01:32:52.043183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73342a5c7bed1de4f5670a8d264e2cf91c21c2d0ebc1469644986ec4585cf74f

Aliases

arxiv: 1508.04337 · arxiv_version: 1508.04337v2 · doi: 10.48550/arxiv.1508.04337 · pith_short_12: OM2CUXD35UO6 · pith_short_16: OM2CUXD35UO6J5LH · pith_short_8: OM2CUXD3

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/OM2CUXD35UO6J5LHBKGSMTRM7E \
  | 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: 73342a5c7bed1de4f5670a8d264e2cf91c21c2d0ebc1469644986ec4585cf74f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8af3d58cb1582488dd0325cc86e1371ae5721112f678c536b790281f1b1af8a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-18T14:56:35Z",
    "title_canon_sha256": "569ff3aa24e679ca7921abeb689f506e2f1c8476a44a6770e22181f1b90d1764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04337",
    "kind": "arxiv",
    "version": 2
  }
}