Pith Number

pith:MO23VARR

pith:2008:MO23VARRUGAEJ2KQV6P7IBGK5U

not attested not anchored not stored refs pending

Constrained Willmore Tori in the 4--Sphere

Christoph Bohle

arxiv:0803.0633 v1 · 2008-03-05 · 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{MO23VARRUGAEJ2KQV6P7IBGK5U}

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	2026-05-18T03:38:05.281867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63b5ba8231a18044e950af9ff404caed1f97102f718d12f918f1a2fafd534662

Aliases

arxiv: 0803.0633 · arxiv_version: 0803.0633v1 · doi: 10.48550/arxiv.0803.0633 · pith_short_12: MO23VARRUGAE · pith_short_16: MO23VARRUGAEJ2KQ · pith_short_8: MO23VARR

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/MO23VARRUGAEJ2KQV6P7IBGK5U \
  | 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: 63b5ba8231a18044e950af9ff404caed1f97102f718d12f918f1a2fafd534662

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a49a9a280af16b3f27a19ea587f64aa3b7b10ed88d4dd5cc4914486b148da8d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-03-05T11:10:01Z",
    "title_canon_sha256": "abb03d481db8377d2d3cafdbba0bc8efc0a7fc436e9f5b4fe22e21b74071c144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.0633",
    "kind": "arxiv",
    "version": 1
  }
}