Pith Number

pith:LXSLE7OB

pith:2009:LXSLE7OB3FR2ZGHHYRTPRFY5UD

not attested not anchored not stored refs pending

Existence of monoids compatible with a family of mappings

Chris Preston

arxiv:0903.1084 v3 · 2009-03-05 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LXSLE7OB3FR2ZGHHYRTPRFY5UD}

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	2026-05-18T04:42:44.750629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5de4b27dc1d963ac98e7c466f8971da0f833711c6abe5e99bca48175def9e459

Aliases

arxiv: 0903.1084 · arxiv_version: 0903.1084v3 · doi: 10.48550/arxiv.0903.1084 · pith_short_12: LXSLE7OB3FR2 · pith_short_16: LXSLE7OB3FR2ZGHH · pith_short_8: LXSLE7OB

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/LXSLE7OB3FR2ZGHHYRTPRFY5UD \
  | 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: 5de4b27dc1d963ac98e7c466f8971da0f833711c6abe5e99bca48175def9e459

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37aeb056c894b5a32f04ca30700e1056677072d29647904ca6e714963b936d25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2009-03-05T19:42:30Z",
    "title_canon_sha256": "f37c9fc89c80498371dd0239053dbe63a827251819ed4e1333e92416468d4bd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1084",
    "kind": "arxiv",
    "version": 3
  }
}