Pith Number

pith:BTV3SRHS

pith:2011:BTV3SRHS7FEDEBF2JQG6MJ7G36

not attested not anchored not stored refs pending

Endpoint estimates and global existence for the nonlinear Dirac equation with potential

Federico Cacciafesta, Piero D'Ancona

arxiv:1103.4014 v1 · 2011-03-21 · 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{BTV3SRHS7FEDEBF2JQG6MJ7G36}

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	2026-05-17T23:39:42.612411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cebb944f2f9483204ba4c0de627e6df95acb8df5877c5373b874c984a69d1bf

Aliases

arxiv: 1103.4014 · arxiv_version: 1103.4014v1 · doi: 10.48550/arxiv.1103.4014 · pith_short_12: BTV3SRHS7FED · pith_short_16: BTV3SRHS7FEDEBF2 · pith_short_8: BTV3SRHS

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/BTV3SRHS7FEDEBF2JQG6MJ7G36 \
  | 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: 0cebb944f2f9483204ba4c0de627e6df95acb8df5877c5373b874c984a69d1bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6704e03bffc21881c3b7f82b2a8085a80a865eb000641e8dba3b30c1ab3c07d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-21T14:02:31Z",
    "title_canon_sha256": "76cf1d7b69c28f6a10302b6e4d82f7e6b5cd149c18be260a7973692a72dbe4c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4014",
    "kind": "arxiv",
    "version": 1
  }
}