Pith Number

pith:YBJ2XUGK

pith:2013:YBJ2XUGKQI3FXHT4SZSTFMGRRI

not attested not anchored not stored refs pending

Real Analytic Solutions to the Willmore Flow

Yuanzhen Shao

arxiv:1302.3994 v1 · 2013-02-16 · 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{YBJ2XUGKQI3FXHT4SZSTFMGRRI}

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	2026-05-18T01:03:44.787149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c053abd0ca82365b9e7c966532b0d18a25786f5bb198842e2eab75d5160ed83f

Aliases

arxiv: 1302.3994 · arxiv_version: 1302.3994v1 · doi: 10.48550/arxiv.1302.3994 · pith_short_12: YBJ2XUGKQI3F · pith_short_16: YBJ2XUGKQI3FXHT4 · pith_short_8: YBJ2XUGK

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/YBJ2XUGKQI3FXHT4SZSTFMGRRI \
  | 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: c053abd0ca82365b9e7c966532b0d18a25786f5bb198842e2eab75d5160ed83f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccdad0054a82d0b1ec22fecdcb4ab22acb182b3a923d9fd4ce649e5496a6ab5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-16T20:04:01Z",
    "title_canon_sha256": "e135ce2dca80014e27077c2f2a2807d00932f8fcb001fce160438c8184eb5b8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3994",
    "kind": "arxiv",
    "version": 1
  }
}