Pith Number

pith:FUDK4RWX

pith:2008:FUDK4RWXCPGVMJDA4N4FEZRMIZ

not attested not anchored not stored refs pending

Note on the construction of free monoids

Stephen Lack

arxiv:0802.1946 v2 · 2008-02-14 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUDK4RWXCPGVMJDA4N4FEZRMIZ}

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	2026-05-18T04:41:14.335720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d06ae46d713cd562460e37852662c4650b3fd87f28660066296f7c9cf2b191b

Aliases

arxiv: 0802.1946 · arxiv_version: 0802.1946v2 · doi: 10.48550/arxiv.0802.1946 · pith_short_12: FUDK4RWXCPGV · pith_short_16: FUDK4RWXCPGVMJDA · pith_short_8: FUDK4RWX

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/FUDK4RWXCPGVMJDA4N4FEZRMIZ \
  | 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: 2d06ae46d713cd562460e37852662c4650b3fd87f28660066296f7c9cf2b191b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d87c9fdeef3ec3ea74614bc5e733236a4292ff93d63c1509d3aa9df37a87599",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2008-02-14T00:10:07Z",
    "title_canon_sha256": "c659e65ae09ff1a2eb8b6f62dccb1fbd619f3d92fcdade498011f872852dcdc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.1946",
    "kind": "arxiv",
    "version": 2
  }
}