Pith Number

pith:DARDJHX2

pith:2013:DARDJHX2L7TYG4NDZGGHH5ABIE

not attested not anchored not stored refs pending

Remarks on the free boundary problem of compressible Euler equations in physical vacuum with general initial densities

Chengchun Hao

arxiv:1301.7121 v2 · 2013-01-30 · 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{DARDJHX2L7TYG4NDZGGHH5ABIE}

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	2026-05-18T03:20:32.374425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1822349efa5fe78371a3c98c73f401412d88c50c46e89c7a71cf32240af90b6f

Aliases

arxiv: 1301.7121 · arxiv_version: 1301.7121v2 · doi: 10.48550/arxiv.1301.7121 · pith_short_12: DARDJHX2L7TY · pith_short_16: DARDJHX2L7TYG4ND · pith_short_8: DARDJHX2

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/DARDJHX2L7TYG4NDZGGHH5ABIE \
  | 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: 1822349efa5fe78371a3c98c73f401412d88c50c46e89c7a71cf32240af90b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34030a22e16aeb140dcba5ece9149925d0874753df679401f4433b0e2db5f344",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-30T02:08:18Z",
    "title_canon_sha256": "ceded68bc4bb644a9f15e167079d30d95ba83d1d00793ee19b4dea2079587e6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7121",
    "kind": "arxiv",
    "version": 2
  }
}