Pith Number

pith:PGTXFRLG

pith:2016:PGTXFRLGV55GPYAXF5DKTQLARF

not attested not anchored not stored refs pending

Knots and Links from Random Projections

Christopher Westenberger

arxiv:1602.01484 v3 · 2016-02-03 · math.PR · 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{PGTXFRLGV55GPYAXF5DKTQLARF}

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	2026-05-17T23:43:18.884174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79a772c566af7a67e0172f46a9c16089535fc3662dd8862abc4c758cccc7dfc1

Aliases

arxiv: 1602.01484 · arxiv_version: 1602.01484v3 · doi: 10.48550/arxiv.1602.01484 · pith_short_12: PGTXFRLGV55G · pith_short_16: PGTXFRLGV55GPYAX · pith_short_8: PGTXFRLG

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/PGTXFRLGV55GPYAXF5DKTQLARF \
  | 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: 79a772c566af7a67e0172f46a9c16089535fc3662dd8862abc4c758cccc7dfc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f647a6875197c56b1402edf373bbdc6c3c9aff0f096759883215456452e18666",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-03T21:19:06Z",
    "title_canon_sha256": "5439984a135648be8c29f85bc427edea1df0723acd5f9bd7eb5bf3389e714e22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01484",
    "kind": "arxiv",
    "version": 3
  }
}