Pith Number

pith:2Z4KJILU

pith:2017:2Z4KJILU75AEQYXQXYXJDTZMCL

not attested not anchored not stored refs pending

Large time behavior of entropy solutions to one-dimensional unipolar hydrodynamic model for semiconductor devices

Difan Yuan, Feimin Huang, Huimin Yu, Tianhong Li

arxiv:1711.05870 v2 · 2017-11-16 · 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{2Z4KJILU75AEQYXQXYXJDTZMCL}

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	2026-05-18T00:10:03.657949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d678a4a174ff404862f0be2e91cf2c12f22e39777756c3bc2f240cd2dfd8b603

Aliases

arxiv: 1711.05870 · arxiv_version: 1711.05870v2 · doi: 10.48550/arxiv.1711.05870 · pith_short_12: 2Z4KJILU75AE · pith_short_16: 2Z4KJILU75AEQYXQ · pith_short_8: 2Z4KJILU

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/2Z4KJILU75AEQYXQXYXJDTZMCL \
  | 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: d678a4a174ff404862f0be2e91cf2c12f22e39777756c3bc2f240cd2dfd8b603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e335c6fe5ecb9eaee8596a9cc6f0a2759383787ef0f0eef82655b03c3796a9c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-16T00:47:52Z",
    "title_canon_sha256": "0c0f4fd8787ab5bd2c12ac6abc2c82df057eac43c4726bb09f23cdbba6cb3134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05870",
    "kind": "arxiv",
    "version": 2
  }
}