Pith Number

pith:M2T42LJA

pith:2011:M2T42LJAYQXLIM2TW7BGKBNONA

not attested not anchored not stored refs pending

The Vacuum in Nonisentropic Gas Dynamics

Geng Chen, Robin Young

arxiv:1111.6268 v1 · 2011-11-27 · 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{M2T42LJAYQXLIM2TW7BGKBNONA}

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	2026-05-18T04:07:31.403305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66a7cd2d20c42eb43353b7c26505ae683b06e77f2945b2d12731320b8d4ffd34

Aliases

arxiv: 1111.6268 · arxiv_version: 1111.6268v1 · doi: 10.48550/arxiv.1111.6268 · pith_short_12: M2T42LJAYQXL · pith_short_16: M2T42LJAYQXLIM2T · pith_short_8: M2T42LJA

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/M2T42LJAYQXLIM2TW7BGKBNONA \
  | 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: 66a7cd2d20c42eb43353b7c26505ae683b06e77f2945b2d12731320b8d4ffd34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03d6e7908f5cd94816f935da4dd428cdf88b5e099671befe5bac15279d722155",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-27T15:59:49Z",
    "title_canon_sha256": "498660b0368d823578a0c4da6c3a5803b16d7065f0a16d403e85aa34a574fdc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6268",
    "kind": "arxiv",
    "version": 1
  }
}