Pith Number

pith:55ASYXNX

pith:2001:55ASYXNXRA63YLOXD6S7UPINDH

not attested not anchored not stored refs pending

On the well-posedness of the wave map problem in high dimensions

Andrea Nahmod, Atanas Stefanov, Karen Uhlenbeck

arxiv:math/0109212 v1 · 2001-09-26 · 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{55ASYXNXRA63YLOXD6S7UPINDH}

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	2026-07-04T14:35:32.245435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef412c5db7883dbc2dd71fa5fa3d0d19fcbe9ac624e560e4b4b20f1e77afc498

Aliases

arxiv: math/0109212 · arxiv_version: math/0109212v1 · doi: 10.48550/arxiv.math/0109212 · pith_short_12: 55ASYXNXRA63 · pith_short_16: 55ASYXNXRA63YLOX · pith_short_8: 55ASYXNX

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/55ASYXNXRA63YLOXD6S7UPINDH \
  | 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: ef412c5db7883dbc2dd71fa5fa3d0d19fcbe9ac624e560e4b4b20f1e77afc498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "353b7d6ee5fe8749298534e5568328fba8419083428206cd77cad2279edfc133",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2001-09-26T16:43:55Z",
    "title_canon_sha256": "12f5a57db966f7c1adad28b77c3f1adf9d326fa0ab983de175f04c75e49c55e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0109212",
    "kind": "arxiv",
    "version": 1
  }
}