Pith Number

pith:PUEGNWE3

pith:2010:PUEGNWE34B3UPFTE2W7UW3UUHE

not attested not anchored not stored refs pending

$W^{2,2}$-conformal immersions of a closed Riemann surface into $\R^n$

Ernst Kuwert, Yuxiang Li

arxiv:1007.3967 v2 · 2010-07-22 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUEGNWE34B3UPFTE2W7UW3UUHE}

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	2026-05-18T04:40:09.268817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d0866d89be077479664d5bf4b6e9439306b0a7805d3025025b5fcb63e125338

Aliases

arxiv: 1007.3967 · arxiv_version: 1007.3967v2 · doi: 10.48550/arxiv.1007.3967 · pith_short_12: PUEGNWE34B3U · pith_short_16: PUEGNWE34B3UPFTE · pith_short_8: PUEGNWE3

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/PUEGNWE34B3UPFTE2W7UW3UUHE \
  | 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: 7d0866d89be077479664d5bf4b6e9439306b0a7805d3025025b5fcb63e125338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac9bf9c31f2a4876e1209ecfbdf191ec115ec9db0da023bf579acc09867c0e21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-07-22T18:46:00Z",
    "title_canon_sha256": "1b814c0c73e48f78d97904bacf509ce051c5eba5dddc21e4eae0d7b4b18e336b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3967",
    "kind": "arxiv",
    "version": 2
  }
}