Pith Number

pith:C4Q5XPAB

pith:2012:C4Q5XPABLUSUUM54Y3ZHG2LVEV

not attested not anchored not stored refs pending

Global well-posedness of the compressible bipolar Euler-Maxwell system in R^3

Yong Wang, Zhong Tan

arxiv:1212.5980 v1 · 2012-12-25 · 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{C4Q5XPABLUSUUM54Y3ZHG2LVEV}

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	2026-05-18T03:37:50.904696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1721dbbc015d254a33bcc6f2736975257959a6a0df30facf81599abacf5ad727

Aliases

arxiv: 1212.5980 · arxiv_version: 1212.5980v1 · doi: 10.48550/arxiv.1212.5980 · pith_short_12: C4Q5XPABLUSU · pith_short_16: C4Q5XPABLUSUUM54 · pith_short_8: C4Q5XPAB

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/C4Q5XPABLUSUUM54Y3ZHG2LVEV \
  | 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: 1721dbbc015d254a33bcc6f2736975257959a6a0df30facf81599abacf5ad727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "698764d003e581500cf5e9a6ac42122b86169a17f20a6deb3d37326814ef0f05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-25T01:15:32Z",
    "title_canon_sha256": "1b6103763133297953f2874c242b92de661963f33ae8e2c6e7996e52da450812"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5980",
    "kind": "arxiv",
    "version": 1
  }
}