Pith Number

pith:5XWGBTAY

pith:2018:5XWGBTAY5F2MQALS6X4OOJHHBG

not attested not anchored not stored refs pending

Linking number and Milnor invariants

Jean-Baptiste Meilhan

arxiv:1812.03319 v1 · 2018-12-08 · 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{5XWGBTAY5F2MQALS6X4OOJHHBG}

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	2026-05-17T23:58:46.542706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edec60cc18e974c80172f5f8e724e70981564a0e889aaee0d588f1fc0efd7187

Aliases

arxiv: 1812.03319 · arxiv_version: 1812.03319v1 · doi: 10.48550/arxiv.1812.03319 · pith_short_12: 5XWGBTAY5F2M · pith_short_16: 5XWGBTAY5F2MQALS · pith_short_8: 5XWGBTAY

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/5XWGBTAY5F2MQALS6X4OOJHHBG \
  | 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: edec60cc18e974c80172f5f8e724e70981564a0e889aaee0d588f1fc0efd7187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e437f1682d1859844d6169402d4a950ef27b411cf970af4336df9b2bd03b001",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-12-08T13:39:36Z",
    "title_canon_sha256": "aed565b47a3e371a96c7fee7bf94a371fcef24731d6943eac16291e9b5aac161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03319",
    "kind": "arxiv",
    "version": 1
  }
}