Pith Number

pith:MMWI62OG

pith:2016:MMWI62OG7GFKTZTSPEGNTFHNTR

not attested not anchored not stored refs pending

Steady hydrodynamic model of semiconductors with sonic boundary

Guojing Zhang, Jingyu Li, Kaijun Zhang, Ming Mei

arxiv:1610.09595 v1 · 2016-10-30 · 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{MMWI62OG7GFKTZTSPEGNTFHNTR}

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	2026-05-18T01:00:51.568564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

632c8f69c6f98aa9e672790cd994ed9c79e65a9e022bbaba939f95b7d078298e

Aliases

arxiv: 1610.09595 · arxiv_version: 1610.09595v1 · doi: 10.48550/arxiv.1610.09595 · pith_short_12: MMWI62OG7GFK · pith_short_16: MMWI62OG7GFKTZTS · pith_short_8: MMWI62OG

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/MMWI62OG7GFKTZTSPEGNTFHNTR \
  | 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: 632c8f69c6f98aa9e672790cd994ed9c79e65a9e022bbaba939f95b7d078298e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "969b77902ac19ba9ef274bea48cdb662d1387da3309c9ba3c37067de8ce8c169",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-30T02:24:37Z",
    "title_canon_sha256": "22ff10a362f3a129bbb951cc53a0af76e5c1f3f05a8c0054b6c4c4921f546d87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09595",
    "kind": "arxiv",
    "version": 1
  }
}