Pith Number

pith:DP6FAQP3

pith:2009:DP6FAQP3OBY6KGYXOKM6GQ3MVQ

not attested not anchored not stored refs pending

Regularity of Wave-Maps in dimension 2+1

Daniel Tataru, Jacob Sterbenz

arxiv:0907.3148 v1 · 2009-07-17 · 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{DP6FAQP3OBY6KGYXOKM6GQ3MVQ}

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	2026-05-18T02:12:56.053039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bfc5041fb7071e51b177299e3436cac398ba087e7a3170cd67e7645c0838f9b

Aliases

arxiv: 0907.3148 · arxiv_version: 0907.3148v1 · doi: 10.48550/arxiv.0907.3148 · pith_short_12: DP6FAQP3OBY6 · pith_short_16: DP6FAQP3OBY6KGYX · pith_short_8: DP6FAQP3

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/DP6FAQP3OBY6KGYXOKM6GQ3MVQ \
  | 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: 1bfc5041fb7071e51b177299e3436cac398ba087e7a3170cd67e7645c0838f9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9806742b88b999d1039819b97eaec785f1e53fe040c529d6943e307a10b4cbc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-07-17T20:12:49Z",
    "title_canon_sha256": "3aa0f24bcb30075fe0b1eed304b4e1d4b4757bf40813a0676c05f0ee202cb616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3148",
    "kind": "arxiv",
    "version": 1
  }
}