Pith Number

pith:K4ATRFYM

pith:2012:K4ATRFYMV6DYQI5XSAOC72GLHU

not attested not anchored not stored refs pending

Zero-electron-mass limit of Euler-Poisson equations

Jiang Xu, Ting Zhang

arxiv:1205.3539 v1 · 2012-05-16 · 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{K4ATRFYMV6DYQI5XSAOC72GLHU}

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	2026-05-18T03:55:34.846564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

570138970caf878823b7901c2fe8cb3d1c43d29b936a62157a1133dbe4baf50d

Aliases

arxiv: 1205.3539 · arxiv_version: 1205.3539v1 · doi: 10.48550/arxiv.1205.3539 · pith_short_12: K4ATRFYMV6DY · pith_short_16: K4ATRFYMV6DYQI5X · pith_short_8: K4ATRFYM

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/K4ATRFYMV6DYQI5XSAOC72GLHU \
  | 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: 570138970caf878823b7901c2fe8cb3d1c43d29b936a62157a1133dbe4baf50d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5e32260866651670d13aecd149c5eb10244c275b39d945d5f576aef6f2541ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-16T02:00:44Z",
    "title_canon_sha256": "287bff57aff9ac08b16cce1ab0a7b4f47bc63c915e2733415896b7386a7f5016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3539",
    "kind": "arxiv",
    "version": 1
  }
}