Pith Number

pith:QUWIPEOY

pith:2001:QUWIPEOYBCLWDSSI5L3KETZEAL

not attested not anchored not stored refs pending

Singularity Formation in 2+1 Wave Maps

James Isenberg, Steven L. Liebling

arxiv:math-ph/0106029 v1 · 2001-06-27 · math-ph · math.AP · 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{QUWIPEOYBCLWDSSI5L3KETZEAL}

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	2026-07-04T16:28:14.433154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

852c8791d8089761ca48eaf6a24f2402cde3739fdcc21747aee21a8b55a9aec4

Aliases

arxiv: math-ph/0106029 · arxiv_version: math-ph/0106029v1 · doi: 10.48550/arxiv.math-ph/0106029 · pith_short_12: QUWIPEOYBCLW · pith_short_16: QUWIPEOYBCLWDSSI · pith_short_8: QUWIPEOY

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/QUWIPEOYBCLWDSSI5L3KETZEAL \
  | 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: 852c8791d8089761ca48eaf6a24f2402cde3739fdcc21747aee21a8b55a9aec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a6daefe65b571a8f065f12f7fdcc1f1259a5259fddb023052e96d30d39a8353",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-06-27T19:11:46Z",
    "title_canon_sha256": "760765eb4fe7a2f77278addda42d013ae2fc8923eff885ed053a5e84bc861dfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0106029",
    "kind": "arxiv",
    "version": 1
  }
}