Pith Number

pith:AKVUSUOP

pith:2012:AKVUSUOP2H2DFPGV4C6G2FFYC2

not attested not anchored not stored refs pending

Quasi-gradient systems, modulational dichotomies, and stability of spatially periodic patterns

Alin Pogan, Arnd Scheel, Kevin Zumbrun

arxiv:1205.7082 v1 · 2012-05-31 · 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{AKVUSUOP2H2DFPGV4C6G2FFYC2}

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	2026-05-18T03:54:27.979987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02ab4951cfd1f432bcd5e0bc6d14b81696da659b196343687994c61c989cc0a5

Aliases

arxiv: 1205.7082 · arxiv_version: 1205.7082v1 · doi: 10.48550/arxiv.1205.7082 · pith_short_12: AKVUSUOP2H2D · pith_short_16: AKVUSUOP2H2DFPGV · pith_short_8: AKVUSUOP

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/AKVUSUOP2H2DFPGV4C6G2FFYC2 \
  | 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: 02ab4951cfd1f432bcd5e0bc6d14b81696da659b196343687994c61c989cc0a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96f810e153102eaedbc248224c140a14fb611ae3259c3c7440795e873f1b7167",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-31T19:32:49Z",
    "title_canon_sha256": "7f1c766b6bfede482d9e9ed6496d6e7246674d48e369da0f64a68d5f034e8008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.7082",
    "kind": "arxiv",
    "version": 1
  }
}