Pith Number

pith:6JWMVJ4L

pith:2012:6JWMVJ4LXXTSEGXB47W7NSDD7O

not attested not anchored not stored refs pending

Renormalization and blow up for wave maps from $S^2\times \RR$ to $S^2$

Sohrab Shahshahani

arxiv:1203.4722 v3 · 2012-03-21 · 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{6JWMVJ4LXXTSEGXB47W7NSDD7O}

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	2026-05-18T03:53:43.574008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f26ccaa78bbde7221ae1e7edf6c863fba1f79e8111bdd3a8ced8ae842f87d93d

Aliases

arxiv: 1203.4722 · arxiv_version: 1203.4722v3 · doi: 10.48550/arxiv.1203.4722 · pith_short_12: 6JWMVJ4LXXTS · pith_short_16: 6JWMVJ4LXXTSEGXB · pith_short_8: 6JWMVJ4L

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/6JWMVJ4LXXTSEGXB47W7NSDD7O \
  | 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: f26ccaa78bbde7221ae1e7edf6c863fba1f79e8111bdd3a8ced8ae842f87d93d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4451a912f4448dd15fb9cf5130febdbf2d24fdf1886d2b3044322e882648f272",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-21T12:37:20Z",
    "title_canon_sha256": "627d91a4067ab0c26aac6704ed832f62327112555ed2be1767749d44cb2abd9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4722",
    "kind": "arxiv",
    "version": 3
  }
}