Pith Number

pith:GVLN65SB

pith:2012:GVLN65SB63PNCAPBJLPEOXJP2G

not attested not anchored not stored refs pending

Bilinear Strichartz estimates for the Schr{\"o}dinger map problem

Benjamin Dodson

arxiv:1210.5255 v2 · 2012-10-18 · 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{GVLN65SB63PNCAPBJLPEOXJP2G}

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	2026-05-18T03:42:33.526969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3556df7641f6ded101e14ade475d2fd190ae67062180b8b3fb72f38dea43136c

Aliases

arxiv: 1210.5255 · arxiv_version: 1210.5255v2 · doi: 10.48550/arxiv.1210.5255 · pith_short_12: GVLN65SB63PN · pith_short_16: GVLN65SB63PNCAPB · pith_short_8: GVLN65SB

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/GVLN65SB63PNCAPBJLPEOXJP2G \
  | 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: 3556df7641f6ded101e14ade475d2fd190ae67062180b8b3fb72f38dea43136c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "127669d2bca26cf90770dc10d81d6505c68d56ca9df45d6a3047d9591ba0ab21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-18T20:27:30Z",
    "title_canon_sha256": "dc347ba5ad389e6a62c4643fc4180d215ec3052ca8f63401404c149b076cede3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5255",
    "kind": "arxiv",
    "version": 2
  }
}