Pith Number

pith:XJ4LEMKM

pith:2016:XJ4LEMKMJ6SHNHPFYWYRWCAXDR

not attested not anchored not stored refs pending

An infinite sequence of conserved quantities for the cubic Gross-Pitaevskii hierarchy on $\mathbb{R}$

Andrea Nahmod, Dana Mendelson, Gigliola Staffilani, Nata\v{s}a Pavlovi\'c

arxiv:1612.09236 v2 · 2016-12-29 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJ4LEMKMJ6SHNHPFYWYRWCAXDR}

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	2026-05-17T23:59:39.746039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba78b2314c4fa4769de5c5b11b08171c51b820beac56037ccc970978dc565314

Aliases

arxiv: 1612.09236 · arxiv_version: 1612.09236v2 · doi: 10.48550/arxiv.1612.09236 · pith_short_12: XJ4LEMKMJ6SH · pith_short_16: XJ4LEMKMJ6SHNHPF · pith_short_8: XJ4LEMKM

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/XJ4LEMKMJ6SHNHPFYWYRWCAXDR \
  | 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: ba78b2314c4fa4769de5c5b11b08171c51b820beac56037ccc970978dc565314

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca0d9f6202ccce5ad397b0a91a86cb9e598a7450ff65bb35890156fd484d4de2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-29T18:29:41Z",
    "title_canon_sha256": "72dfc3a94485f3015c5d4621a05dcf1ce8499ceb1707c4d267b02cc5c11cedd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09236",
    "kind": "arxiv",
    "version": 2
  }
}