Pith Number

pith:GRKVO56N

pith:2003:GRKVO56NNGRLZQOKUXGM37IQIS

not attested not anchored not stored refs pending

Topological entropy and Burau representation

Boris Kolev

arxiv:math/0304105 v1 · 2003-04-08 · math.DS · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRKVO56NNGRLZQOKUXGM37IQIS}

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	2026-05-18T04:40:00.843361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34555777cd69a2bcc1caa5cccdfd10448c4fd8374040900a0695c2626a199ba7

Aliases

arxiv: math/0304105 · arxiv_version: math/0304105v1 · doi: 10.48550/arxiv.math/0304105 · pith_short_12: GRKVO56NNGRL · pith_short_16: GRKVO56NNGRLZQOK · pith_short_8: GRKVO56N

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/GRKVO56NNGRLZQOKUXGM37IQIS \
  | 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: 34555777cd69a2bcc1caa5cccdfd10448c4fd8374040900a0695c2626a199ba7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "793987e431773e70230c64b8a9d25768ed033b6ce3d1a40ef4b346e00cf530fb",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2003-04-08T11:23:35Z",
    "title_canon_sha256": "591620016b28878eeb0ed865f559e88a38a6136931aa3c2d79fb7d5ca1b96969"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304105",
    "kind": "arxiv",
    "version": 1
  }
}