Pith Number

pith:6T2YST2R

pith:2010:6T2YST2RM3C73ODCQFWAJOPPTO

not attested not anchored not stored refs pending

1D quintic nonlinear Schr\"odinger equation with white noise dispersion

Arnaud Debussche (IRMAR), Yoshio Tsutsumi

arxiv:1010.4011 v1 · 2010-10-19 · math.AP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6T2YST2RM3C73ODCQFWAJOPPTO}

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	2026-05-18T04:39:07.043145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4f5894f5166c5fdb862816c04b9ef9bb4ad803aea32bde9fa5a4b20f7fc67a4

Aliases

arxiv: 1010.4011 · arxiv_version: 1010.4011v1 · doi: 10.48550/arxiv.1010.4011 · pith_short_12: 6T2YST2RM3C7 · pith_short_16: 6T2YST2RM3C73ODC · pith_short_8: 6T2YST2R

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/6T2YST2RM3C73ODCQFWAJOPPTO \
  | 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: f4f5894f5166c5fdb862816c04b9ef9bb4ad803aea32bde9fa5a4b20f7fc67a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd2a18619cbf6560fe357ee52781f8fab2f1b3dd7b55596ce8fca72362200b8e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-19T19:14:50Z",
    "title_canon_sha256": "505be08684d430ae2c4bbeb07d9e3ea3ff545065d1e81386297d0925f1f2aff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4011",
    "kind": "arxiv",
    "version": 1
  }
}