Pith Number

pith:RP77LSFQ

pith:2006:RP77LSFQ5ZMVJH4WSYMEWV7ECV

not attested not anchored not stored refs pending

Renormalization and blow up for charge one equivariant critical wave maps

Daniel Tataru, Joachim Krieger, Wilhelm Schlag

arxiv:math/0610248 v1 · 2006-10-07 · 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{RP77LSFQ5ZMVJH4WSYMEWV7ECV}

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	2026-05-18T01:38:23.729360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bfff5c8b0ee59549f9696184b57e41563ac50ed3e33aee2295802276f376358

Aliases

arxiv: math/0610248 · arxiv_version: math/0610248v1 · doi: 10.48550/arxiv.math/0610248 · pith_short_12: RP77LSFQ5ZMV · pith_short_16: RP77LSFQ5ZMVJH4W · pith_short_8: RP77LSFQ

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/RP77LSFQ5ZMVJH4WSYMEWV7ECV \
  | 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: 8bfff5c8b0ee59549f9696184b57e41563ac50ed3e33aee2295802276f376358

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e98026fedeaa99ac1a24a0fa892607415750484752a189c9f2e3b0372a51f1e8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-10-07T19:53:34Z",
    "title_canon_sha256": "55133fe28a0594a92331218e96f815ad2661d4a47bfb1fcc55de65d758ce76db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610248",
    "kind": "arxiv",
    "version": 1
  }
}