Pith Number

pith:OL6PIKGR

pith:2016:OL6PIKGR7YVPHLILLK2A55SCFG

not attested not anchored not stored refs pending

Universal dynamics for the defocusing logarithmic Schrodinger equation

(2) IMJ, DMA), Isabelle Gallagher (2) ((1) IMAG, R\'emi Carles (1)

arxiv:1611.06083 v4 · 2016-11-18 · 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{OL6PIKGR7YVPHLILLK2A55SCFG}

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	2026-05-18T00:10:32.434604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72fcf428d1fe2af3ad0b5ab40ef64229a008b51f8a34beb0825352ec0e6a3f0c

Aliases

arxiv: 1611.06083 · arxiv_version: 1611.06083v4 · doi: 10.48550/arxiv.1611.06083 · pith_short_12: OL6PIKGR7YVP · pith_short_16: OL6PIKGR7YVPHLIL · pith_short_8: OL6PIKGR

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/OL6PIKGR7YVPHLILLK2A55SCFG \
  | 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: 72fcf428d1fe2af3ad0b5ab40ef64229a008b51f8a34beb0825352ec0e6a3f0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47994deaaed278bbcbac78a379c252e8ce0b204d0282da88f76d076da6329bb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-18T14:03:31Z",
    "title_canon_sha256": "e3d01454ef7aa7f2bc584e3496e1eeff9ee361c3e44098a2cebc4fd5a2aff86f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06083",
    "kind": "arxiv",
    "version": 4
  }
}