Pith Number

pith:7VLDSITV

pith:2017:7VLDSITVGYI22YI4YOPWFDBOW2

not attested not anchored not stored refs pending

Embedding compact surfaces into the 3-dimensional Euclidean space with maximum symmetry

Bruno Zimmermann, Chao Wang, Shicheng Wang, Yimu Zhang

arxiv:1702.03087 v2 · 2017-02-10 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VLDSITVGYI22YI4YOPWFDBOW2}

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	2026-05-18T00:46:00.369382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd563922753611ad611cc39f628c2eb684032f5f3bc921a1c15b458de966f19a

Aliases

arxiv: 1702.03087 · arxiv_version: 1702.03087v2 · doi: 10.48550/arxiv.1702.03087 · pith_short_12: 7VLDSITVGYI2 · pith_short_16: 7VLDSITVGYI22YI4 · pith_short_8: 7VLDSITV

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/7VLDSITVGYI22YI4YOPWFDBOW2 \
  | 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: fd563922753611ad611cc39f628c2eb684032f5f3bc921a1c15b458de966f19a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db0019d400369feb0514cb73bb0c512dc64733cc18e5747820710531b006fbe4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-02-10T07:49:47Z",
    "title_canon_sha256": "22d4823e448bea11c225cbbf80f2910ece74fc040b38378710ab76fc61b04aff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03087",
    "kind": "arxiv",
    "version": 2
  }
}