Pith Number

pith:FDIMHLWZ

pith:2013:FDIMHLWZBY27U3RTRRF67RLTHK

not attested not anchored not stored refs pending

Existence results for compressible radiation hydrodynamics equations with vacuum

Shengguo Zhu, Yachun Li

arxiv:1312.5337 v5 · 2013-12-18 · 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{FDIMHLWZBY27U3RTRRF67RLTHK}

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	2026-05-18T02:38:59.520505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28d0c3aed90e35fa6e338c4befc5733ab7bda39e5c7432dbef2c7bfad945b6d5

Aliases

arxiv: 1312.5337 · arxiv_version: 1312.5337v5 · doi: 10.48550/arxiv.1312.5337 · pith_short_12: FDIMHLWZBY27 · pith_short_16: FDIMHLWZBY27U3RT · pith_short_8: FDIMHLWZ

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/FDIMHLWZBY27U3RTRRF67RLTHK \
  | 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: 28d0c3aed90e35fa6e338c4befc5733ab7bda39e5c7432dbef2c7bfad945b6d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cfd968c119373e9a4a9b973e6c95934a9d32ab215b701ea520377e1be4c19cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-18T21:09:02Z",
    "title_canon_sha256": "ac50bf5ce2cb64354700fe38e835a794f4c91f283f8563500e1776d79ae6840d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5337",
    "kind": "arxiv",
    "version": 5
  }
}