Pith Number

pith:IOMFPMLH

pith:1999:IOMFPMLHTHHBYPNZMNKUKJTL6S

not attested not anchored not stored refs pending

Brunnian links are determined by their complements

Brian Mangum, Theodore Stanford

arxiv:math/9912006 v2 · 1999-12-01 · 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{IOMFPMLHTHHBYPNZMNKUKJTL6S}

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	2026-05-18T02:41:26.479791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

439857b16799ce1c3db9635545266bf49052d8aa582a98e47d180dc3d3b2442c

Aliases

arxiv: math/9912006 · arxiv_version: math/9912006v2 · doi: 10.48550/arxiv.math/9912006 · pith_short_12: IOMFPMLHTHHB · pith_short_16: IOMFPMLHTHHBYPNZ · pith_short_8: IOMFPMLH

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/IOMFPMLHTHHBYPNZMNKUKJTL6S \
  | 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: 439857b16799ce1c3db9635545266bf49052d8aa582a98e47d180dc3d3b2442c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cdce0109fb4ef1f6a85028f663c32bb205c9dc6fbc1999299b68fa0e842d2c3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-12-01T22:03:23Z",
    "title_canon_sha256": "eeb3dfe0f25b36db4611b63bcd65dcdb065e3983a4ef9b0b1bf7987504861fa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9912006",
    "kind": "arxiv",
    "version": 2
  }
}