Pith Number

pith:47Z6GXM6

pith:2012:47Z6GXM6Q2P3SNXOLLQRV2RLBI

not attested not anchored not stored refs pending

Smoothing and Global Attractors for the Zakharov System on the Torus

Burak Erdogan, Nikolaos Tzirakis

arxiv:1202.5268 v1 · 2012-02-23 · 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{47Z6GXM6Q2P3SNXOLLQRV2RLBI}

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	2026-05-18T04:01:38.525794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7f3e35d9e869fb936ee5ae11aea2b0a3da387e1c25299659915a9ff137ca079

Aliases

arxiv: 1202.5268 · arxiv_version: 1202.5268v1 · doi: 10.48550/arxiv.1202.5268 · pith_short_12: 47Z6GXM6Q2P3 · pith_short_16: 47Z6GXM6Q2P3SNXO · pith_short_8: 47Z6GXM6

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/47Z6GXM6Q2P3SNXOLLQRV2RLBI \
  | 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: e7f3e35d9e869fb936ee5ae11aea2b0a3da387e1c25299659915a9ff137ca079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94d74868ab5f26d78e911a0b15717c7e0d244d870c09429a93e255b2823ebc02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-23T19:30:45Z",
    "title_canon_sha256": "906663eb9efe72093ba5394eb19ac77c992183442135e92bf3f007e421676eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5268",
    "kind": "arxiv",
    "version": 1
  }
}