Pith Number

pith:P4VT5IJB

pith:2015:P4VT5IJBNZ3KDEYYEJRZHJ2DJH

not attested not anchored not stored refs pending

Polynomial minimal surfaces of degree five

Ognian Kassabov

arxiv:1502.07474 v2 · 2015-02-26 · 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{P4VT5IJBNZ3KDEYYEJRZHJ2DJH}

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	2026-05-18T01:13:16.852236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f2b3ea1216e76a19318226393a74349df69c870a187109be08c8277b76e13c2

Aliases

arxiv: 1502.07474 · arxiv_version: 1502.07474v2 · doi: 10.48550/arxiv.1502.07474 · pith_short_12: P4VT5IJBNZ3K · pith_short_16: P4VT5IJBNZ3KDEYY · pith_short_8: P4VT5IJB

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/P4VT5IJBNZ3KDEYYEJRZHJ2DJH \
  | 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: 7f2b3ea1216e76a19318226393a74349df69c870a187109be08c8277b76e13c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d91c227468dd24fde923d3edfeb0a9a28c004069789103cf7fc4f8e52ca75ef4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-26T09:12:47Z",
    "title_canon_sha256": "286522783f86bb29a6ca2a7d5266a369b7e1153c7026e4e75100c21402bac2f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07474",
    "kind": "arxiv",
    "version": 2
  }
}