Pith Number

pith:DNUBAWGX

pith:2010:DNUBAWGXCQG4V5XGJMZUHRPRNK

not attested not anchored not stored refs pending

Flows of constant mean curvature tori in the 3-sphere: The equivariant case

Martin Kilian, Martin Ulrich Schmidt, Nicholas Schmitt

arxiv:1011.2875 v2 · 2010-11-12 · 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{DNUBAWGXCQG4V5XGJMZUHRPRNK}

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	2026-05-18T01:29:13.681499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b681058d7140dcaf6e64b3343c5f16a92a82df5638fca7470db080565a6273f

Aliases

arxiv: 1011.2875 · arxiv_version: 1011.2875v2 · doi: 10.48550/arxiv.1011.2875 · pith_short_12: DNUBAWGXCQG4 · pith_short_16: DNUBAWGXCQG4V5XG · pith_short_8: DNUBAWGX

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/DNUBAWGXCQG4V5XGJMZUHRPRNK \
  | 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: 1b681058d7140dcaf6e64b3343c5f16a92a82df5638fca7470db080565a6273f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72c72c35785c3fff8847ac170c145c297abe6b5205238ccaccb42ad18f5eecad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-12T10:40:01Z",
    "title_canon_sha256": "742f6cf65627dbde379031e3e5b2ae433b29a19b607c7e5d4b0ac4dd18fef892"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2875",
    "kind": "arxiv",
    "version": 2
  }
}