Pith Number

pith:XEE7DYJS

pith:2015:XEE7DYJSJYRDQSL2IIKSKYDHYB

not attested not anchored not stored refs pending

The cubic Dirac equation: Small initial data in $H^{\frac12}(\mathbb{R}^2)$

Ioan Bejenaru, Sebastian Herr

arxiv:1501.06874 v3 · 2015-01-27 · 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{XEE7DYJSJYRDQSL2IIKSKYDHYB}

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	2026-05-18T01:18:04.681759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b909f1e1324e2238497a4215256067c0461dede183a9c091e06ce3fb6534304e

Aliases

arxiv: 1501.06874 · arxiv_version: 1501.06874v3 · doi: 10.48550/arxiv.1501.06874 · pith_short_12: XEE7DYJSJYRD · pith_short_16: XEE7DYJSJYRDQSL2 · pith_short_8: XEE7DYJS

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/XEE7DYJSJYRDQSL2IIKSKYDHYB \
  | 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: b909f1e1324e2238497a4215256067c0461dede183a9c091e06ce3fb6534304e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f781051e827d0a468000e040d3335dfa52689b71ecaeef3f7945b00a602129b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-27T19:18:58Z",
    "title_canon_sha256": "5bc7f4b4bf891afb8f0016f5101066698e1c22023a23715cb0461466f480b1ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06874",
    "kind": "arxiv",
    "version": 3
  }
}