Pith Number

pith:BZFFMC6Q

pith:2017:BZFFMC6QAUWL2KO6DF5I2FXC55

not attested not anchored not stored refs pending

Sets of lengths in atomic unit-cancellative finitely presented monoids

Alfred Geroldinger, Emil Daniel Schwab

arxiv:1706.03180 v1 · 2017-06-10 · math.CO · math.AC · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZFFMC6QAUWL2KO6DF5I2FXC55}

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	2026-05-18T00:42:38.256413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e4a560bd0052cbd29de197a8d16e2ef50805add16e6edbb70838868c227d96f

Aliases

arxiv: 1706.03180 · arxiv_version: 1706.03180v1 · doi: 10.48550/arxiv.1706.03180 · pith_short_12: BZFFMC6QAUWL · pith_short_16: BZFFMC6QAUWL2KO6 · pith_short_8: BZFFMC6Q

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/BZFFMC6QAUWL2KO6DF5I2FXC55 \
  | 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: 0e4a560bd0052cbd29de197a8d16e2ef50805add16e6edbb70838868c227d96f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f384795cf4ab20d409cb9a3519d251f5985c9bd35baab6eefc0ecc789f37b86",
    "cross_cats_sorted": [
      "math.AC",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-10T04:30:27Z",
    "title_canon_sha256": "cc45fb479f634a3de77a6af42ab9cbe480f1dfa6aeb140a0b811dfaaaccd4935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03180",
    "kind": "arxiv",
    "version": 1
  }
}