Pith Number

pith:MNDYFVQU

pith:2014:MNDYFVQUGWTDEGV7Y5YTKPCPJK

not attested not anchored not stored refs pending

Willmore surfaces in spheres via loop groups IV: on totally isotropic Willmore two-spheres in $S^6$

Peng Wang

arxiv:1412.8135 v2 · 2014-12-28 · 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{MNDYFVQUGWTDEGV7Y5YTKPCPJK}

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	2026-05-18T02:19:27.824641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

634782d61435a6321abfc771353c4f4a8659b13b004f3c0f67edde96bf97c545

Aliases

arxiv: 1412.8135 · arxiv_version: 1412.8135v2 · doi: 10.48550/arxiv.1412.8135 · pith_short_12: MNDYFVQUGWTD · pith_short_16: MNDYFVQUGWTDEGV7 · pith_short_8: MNDYFVQU

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/MNDYFVQUGWTDEGV7Y5YTKPCPJK \
  | 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: 634782d61435a6321abfc771353c4f4a8659b13b004f3c0f67edde96bf97c545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16f4de7cee8e9a88b6a1f5c7d27034f03196ced851be0f166cf114af80a5decd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-28T09:25:18Z",
    "title_canon_sha256": "5cfd7e4d1945fe020a232b948cbb0e16e92051b9682541e8614929d39f54b11c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8135",
    "kind": "arxiv",
    "version": 2
  }
}