Pith Number

pith:U2JIGQYF

pith:2002:U2JIGQYFBD6IKYXZBWG2VQBLBC

not attested not anchored not stored refs pending

On the continuity of the solution operator to the wave map system

Piero D'Ancona, Vladimir Georgiev

arxiv:math/0212194 v1 · 2002-12-15 · 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{U2JIGQYFBD6IKYXZBWG2VQBLBC}

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	2026-05-18T04:41:54.063229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a69283430508fc8562f90d8daac02b08865d46d5fe634bebfb64d21eda349233

Aliases

arxiv: math/0212194 · arxiv_version: math/0212194v1 · doi: 10.48550/arxiv.math/0212194 · pith_short_12: U2JIGQYFBD6I · pith_short_16: U2JIGQYFBD6IKYXZ · pith_short_8: U2JIGQYF

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/U2JIGQYFBD6IKYXZBWG2VQBLBC \
  | 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: a69283430508fc8562f90d8daac02b08865d46d5fe634bebfb64d21eda349233

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07179e6f4b59c6417f4a353ecb31e90237635970cae170c56263b8b8075dfdb9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2002-12-15T12:19:01Z",
    "title_canon_sha256": "eccd4d2ba5aaa6e7360c789836a2d7c254166c703cdb6829c136086bbd962084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212194",
    "kind": "arxiv",
    "version": 1
  }
}