Pith Number

pith:B3NZHAWX

pith:2000:B3NZHAWX2XX2HTMELLEXDVRCPN

not attested not anchored not stored refs pending

Unknotting virtual knots with Gauss diagram forbidden moves

Sam Nelson

arxiv:math/0007015 v1 · 2000-07-03 · 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{B3NZHAWX2XX2HTMELLEXDVRCPN}

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	2026-07-04T14:34:35.517771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0edb9382d7d5efa3cd845ac971d6227b7af60aef7e9ec63708dea8b534a5232a

Aliases

arxiv: math/0007015 · arxiv_version: math/0007015v1 · doi: 10.48550/arxiv.math/0007015 · pith_short_12: B3NZHAWX2XX2 · pith_short_16: B3NZHAWX2XX2HTME · pith_short_8: B3NZHAWX

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/B3NZHAWX2XX2HTMELLEXDVRCPN \
  | 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: 0edb9382d7d5efa3cd845ac971d6227b7af60aef7e9ec63708dea8b534a5232a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83d76dbaa2ee512d606696debb63a4d6ab2b8cef7b48668d9618e15e86655103",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-07-03T17:14:54Z",
    "title_canon_sha256": "996237dad9d19cbdc003abef95a0434908d7ee321e18dc5c1bd13369ca28289b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0007015",
    "kind": "arxiv",
    "version": 1
  }
}