Pith Number

pith:EEYAHGQL

pith:2019:EEYAHGQL6IDWFEU7X4XKXUOYTT

not attested not anchored not stored refs pending

Critical Thresholds in One Dimensional Damped Euler-Poisson Systems

Hailiang Liu, Manas Bhatnagar

arxiv:1907.09039 v1 · 2019-07-21 · 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{EEYAHGQL6IDWFEU7X4XKXUOYTT}

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	2026-05-17T23:40:02.328904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2130039a0bf20762929fbf2eabd1d89cd2f5faa05576b2be7a9ae24a15e4c3f1

Aliases

arxiv: 1907.09039 · arxiv_version: 1907.09039v1 · doi: 10.48550/arxiv.1907.09039 · pith_short_12: EEYAHGQL6IDW · pith_short_16: EEYAHGQL6IDWFEU7 · pith_short_8: EEYAHGQL

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/EEYAHGQL6IDWFEU7X4XKXUOYTT \
  | 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: 2130039a0bf20762929fbf2eabd1d89cd2f5faa05576b2be7a9ae24a15e4c3f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c287cc1ec6b62f00a4ddba2638ac21fb11cd7205b05094f7d84e392e185d224",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-21T21:29:36Z",
    "title_canon_sha256": "7940b5d15c4151b004ad15c23bebffd7f72bf5142e7556e3a96e5f1c392e5eab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09039",
    "kind": "arxiv",
    "version": 1
  }
}