Pith Number

pith:PJBUQXCA

pith:2017:PJBUQXCAZLRTARUS7M4LW7TVMB

not attested not anchored not stored refs pending

Minimizing intersection points of curves under virtual homotopy

David Freund, Rustam Sadykov, Vladimir Chernov

arxiv:1708.03064 v3 · 2017-08-10 · 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{PJBUQXCAZLRTARUS7M4LW7TVMB}

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	2026-05-18T00:06:41.582771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a43485c40cae3304692fb38bb7e75604e91efbef43ebf9440e4ba422c1884f7

Aliases

arxiv: 1708.03064 · arxiv_version: 1708.03064v3 · doi: 10.48550/arxiv.1708.03064 · pith_short_12: PJBUQXCAZLRT · pith_short_16: PJBUQXCAZLRTARUS · pith_short_8: PJBUQXCA

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/PJBUQXCAZLRTARUS7M4LW7TVMB \
  | 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: 7a43485c40cae3304692fb38bb7e75604e91efbef43ebf9440e4ba422c1884f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dc4d645ea8e7b8ecc037a8c9ae74ff96dd1135cd7679d2817a5010b50d6c02b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-08-10T03:44:26Z",
    "title_canon_sha256": "11bc971a91b9f69e7527aa65af170bdeb6d0b9d9567d4ee9084db004f1d42de5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03064",
    "kind": "arxiv",
    "version": 3
  }
}