Pith Number

pith:6PYVRLK4

pith:2013:6PYVRLK4A32XIELRQNSZUK3AX4

not attested not anchored not stored refs pending

Nonlinear Schr\"{o}dinger equation for the twisted Laplacian in the critical case

Vijay Kumar Sohani

arxiv:1307.5816 v1 · 2013-07-22 · 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{6PYVRLK4A32XIELRQNSZUK3AX4}

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	2026-05-18T03:17:54.483764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3f158ad5c06f574117183659a2b60bf3727ccb6bb3a28c7dc780ac76d7d454a

Aliases

arxiv: 1307.5816 · arxiv_version: 1307.5816v1 · doi: 10.48550/arxiv.1307.5816 · pith_short_12: 6PYVRLK4A32X · pith_short_16: 6PYVRLK4A32XIELR · pith_short_8: 6PYVRLK4

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/6PYVRLK4A32XIELRQNSZUK3AX4 \
  | 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: f3f158ad5c06f574117183659a2b60bf3727ccb6bb3a28c7dc780ac76d7d454a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62299528bcd0b088ee2b9420a1c8834cffbb84ba6f92fd79076db3dc0b851a0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-22T18:54:47Z",
    "title_canon_sha256": "73379ba9c4df448e3acb608ed786d3d0fad65658440fa428d3e85bd6b307bd2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5816",
    "kind": "arxiv",
    "version": 1
  }
}