Pith Number

pith:DD3POHVR

pith:2015:DD3POHVRDACXZRE6PSV7MX2KXK

not attested not anchored not stored refs pending

Global Well-Posedness of 2D Non-Focusing Schr\"odinger Equations via Rigorous Modulation Approximation

Nathan Totz

arxiv:1512.06175 v2 · 2015-12-19 · 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{DD3POHVRDACXZRE6PSV7MX2KXK}

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	2026-05-18T01:15:06.433387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18f6f71eb118057cc49e7cabf65f4abaaac342015a3998bf767ab34ba8a8194f

Aliases

arxiv: 1512.06175 · arxiv_version: 1512.06175v2 · doi: 10.48550/arxiv.1512.06175 · pith_short_12: DD3POHVRDACX · pith_short_16: DD3POHVRDACXZRE6 · pith_short_8: DD3POHVR

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/DD3POHVRDACXZRE6PSV7MX2KXK \
  | 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: 18f6f71eb118057cc49e7cabf65f4abaaac342015a3998bf767ab34ba8a8194f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aaf5d5e62d7cab8efe00440f25aee2620579372ccf19dd3a72aef203515b11f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-19T01:33:51Z",
    "title_canon_sha256": "800923a4a8231365d6d14b9375973e3d851e919fbb2b288857ca622754c5f070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06175",
    "kind": "arxiv",
    "version": 2
  }
}