Pith Number

pith:CH6HP2TO

pith:2013:CH6HP2TOH5OK3SIYF755G24VFT

not attested not anchored not stored refs pending

The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent viscosities

Mingjie Li, Teng Wang, Yi Wang

arxiv:1307.3382 v1 · 2013-07-12 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CH6HP2TOH5OK3SIYF755G24VFT}

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	2026-05-18T03:18:39.283361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11fc77ea6e3f5cadc9182ffbd36b952cc9975e0a2a6aee6e56690ca0589c1ac0

Aliases

arxiv: 1307.3382 · arxiv_version: 1307.3382v1 · doi: 10.48550/arxiv.1307.3382 · pith_short_12: CH6HP2TOH5OK · pith_short_16: CH6HP2TOH5OK3SIY · pith_short_8: CH6HP2TO

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/CH6HP2TOH5OK3SIYF755G24VFT \
  | 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: 11fc77ea6e3f5cadc9182ffbd36b952cc9975e0a2a6aee6e56690ca0589c1ac0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8104d74a6abf53499249f5dd1fd93fe0a912f15702b6553a3628585778b75b2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-12T09:11:08Z",
    "title_canon_sha256": "10f00df06d59c73a67b9e99f032b6f02b9c3c98d56018e78b3047793c7e0c111"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3382",
    "kind": "arxiv",
    "version": 1
  }
}