Pith Number

pith:BGWY4TXV

pith:2009:BGWY4TXVHBKJXRAZB5HELMXY6D

not attested not anchored not stored refs pending

Non-slice linear combinations of algebraic knots

Charles Livingston, Matthew Hedden, Paul Kirk

arxiv:0909.1247 v1 · 2009-09-07 · 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{BGWY4TXVHBKJXRAZB5HELMXY6D}

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	2026-05-18T03:08:48.044331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09ad8e4ef538549bc4190f4e45b2f8f0d311630578b3ad2c1709ebc96d6c58bf

Aliases

arxiv: 0909.1247 · arxiv_version: 0909.1247v1 · doi: 10.48550/arxiv.0909.1247 · pith_short_12: BGWY4TXVHBKJ · pith_short_16: BGWY4TXVHBKJXRAZ · pith_short_8: BGWY4TXV

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/BGWY4TXVHBKJXRAZB5HELMXY6D \
  | 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: 09ad8e4ef538549bc4190f4e45b2f8f0d311630578b3ad2c1709ebc96d6c58bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e07cbb8587b4358d9fef5195e6231440895f921cd733f0161a0adb917d92654",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-09-07T13:25:59Z",
    "title_canon_sha256": "11a0c2734b939c197fd1b1dd1851e1474f18b92e970f747bba9b21ebc247ca81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1247",
    "kind": "arxiv",
    "version": 1
  }
}