Pith Number

pith:LRE6RB5E

pith:2015:LRE6RB5ERQOBSETP3VL2YM5D3V

not attested not anchored not stored refs pending

Critical growth fractional systems with exponential nonlinearity

Jacques Giacomoni, Konijeti Sreenadh, Pawan Kumar Mishra

arxiv:1511.03579 v1 · 2015-11-11 · 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{LRE6RB5ERQOBSETP3VL2YM5D3V}

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	2026-05-18T01:27:08.673171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c49e887a48c1c19126fdd57ac33a3dd67739cb92509b7c3bd07c1e435091d50

Aliases

arxiv: 1511.03579 · arxiv_version: 1511.03579v1 · doi: 10.48550/arxiv.1511.03579 · pith_short_12: LRE6RB5ERQOB · pith_short_16: LRE6RB5ERQOBSETP · pith_short_8: LRE6RB5E

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/LRE6RB5ERQOBSETP3VL2YM5D3V \
  | 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: 5c49e887a48c1c19126fdd57ac33a3dd67739cb92509b7c3bd07c1e435091d50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7f6b93a436f58fcb2b0fade082278301257ae581dc976d52ed7d4fe9464dc1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-11T17:12:14Z",
    "title_canon_sha256": "900d0912c7bf1d0c01162b961544d0ed755832f554abe7d616d862569d253991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03579",
    "kind": "arxiv",
    "version": 1
  }
}