Pith Number

pith:6UTKGL7Q

pith:2008:6UTKGL7Q5D2RQF2OYKQRZMHOQ4

not attested not anchored not stored refs pending

All 2-dimensional links in 4-space live inside a universal 3-dimensional polyhedron

Cherry Kearton, Vitaliy Kurlin

arxiv:0801.3647 v2 · 2008-01-23 · 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{6UTKGL7Q5D2RQF2OYKQRZMHOQ4}

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	2026-05-18T02:41:51.827004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f526a32ff0e8f518174ec2a11cb0ee871a94ea6b58d98ff8c52addbaa486b8f8

Aliases

arxiv: 0801.3647 · arxiv_version: 0801.3647v2 · doi: 10.48550/arxiv.0801.3647 · pith_short_12: 6UTKGL7Q5D2R · pith_short_16: 6UTKGL7Q5D2RQF2O · pith_short_8: 6UTKGL7Q

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/6UTKGL7Q5D2RQF2OYKQRZMHOQ4 \
  | 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: f526a32ff0e8f518174ec2a11cb0ee871a94ea6b58d98ff8c52addbaa486b8f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ec658d4693bffb688e7688b1fb8c8f184671bfb6dfc9a65a3e7943452878c66",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2008-01-23T19:20:02Z",
    "title_canon_sha256": "2f2485c56f3aa0465258e722b34dbbb60308d5dff0416bcb6dbb0216ec4b14a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.3647",
    "kind": "arxiv",
    "version": 2
  }
}