Pith Number

pith:UWVHWAFT

pith:2003:UWVHWAFTCAGNSSPEKLLDODWKX4

not attested not anchored not stored refs pending

On the regularity of the polar factorization for time dependent maps

G. Loeper

arxiv:math/0306431 v2 · 2003-06-30 · 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{UWVHWAFTCAGNSSPEKLLDODWKX4}

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	2026-05-18T01:05:28.773840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5aa7b00b3100cd949e452d6370ecabf3ed38979950dfd597e0e31a77b56c1f5

Aliases

arxiv: math/0306431 · arxiv_version: math/0306431v2 · doi: 10.48550/arxiv.math/0306431 · pith_short_12: UWVHWAFTCAGN · pith_short_16: UWVHWAFTCAGNSSPE · pith_short_8: UWVHWAFT

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/UWVHWAFTCAGNSSPEKLLDODWKX4 \
  | 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: a5aa7b00b3100cd949e452d6370ecabf3ed38979950dfd597e0e31a77b56c1f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1760632d9dce72b997ff8fefecf60cd74299d105dfb81538e8f52bdf5bf4ca5c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2003-06-30T16:17:33Z",
    "title_canon_sha256": "bbfac6e5d97c73b7208f176dd52c6b3d85fb25867ece0308afac6a7787ddbe87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306431",
    "kind": "arxiv",
    "version": 2
  }
}