Pith Number

pith:5N4DRFJR

pith:2017:5N4DRFJR4TZKDTA3YKMOOKAULK

not attested not anchored not stored refs pending

Shrinking doughnuts via variational methods

Gregory Drugan, Xuan Hien Nguyen

arxiv:1708.08808 v1 · 2017-08-29 · 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{5N4DRFJR4TZKDTA3YKMOOKAULK}

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	2026-05-18T00:36:25.598906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb78389531e4f2a1cc1bc298e728145aa522ce9e5a7f33ec8f253b05eb88e1e1

Aliases

arxiv: 1708.08808 · arxiv_version: 1708.08808v1 · doi: 10.48550/arxiv.1708.08808 · pith_short_12: 5N4DRFJR4TZK · pith_short_16: 5N4DRFJR4TZKDTA3 · pith_short_8: 5N4DRFJR

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/5N4DRFJR4TZKDTA3YKMOOKAULK \
  | 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: eb78389531e4f2a1cc1bc298e728145aa522ce9e5a7f33ec8f253b05eb88e1e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb09c33ada919b3e6b4f502bf5b501fcab1217523fe7f10591fd2b38f97e6e4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-08-29T15:02:04Z",
    "title_canon_sha256": "c02ca6f8f1d173e57e47b2ce4b0d112dec883c188cc9347e819b112eed463cb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08808",
    "kind": "arxiv",
    "version": 1
  }
}