Pith Number

pith:W5XIIQ6U

pith:2018:W5XIIQ6UDOGSQ4RNG6U2HCKUYI

not attested not anchored not stored refs pending

Membership and elasticity in certain affine monoids

Jackson Autry, Vadim Ponomarenko

arxiv:1812.02854 v1 · 2018-12-06 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5XIIQ6UDOGSQ4RNG6U2HCKUYI}

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	2026-05-17T23:58:51.669030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b76e8443d41b8d28722d37a9a38954c2082504c6ecb5957727d20755d5e8481f

Aliases

arxiv: 1812.02854 · arxiv_version: 1812.02854v1 · doi: 10.48550/arxiv.1812.02854 · pith_short_12: W5XIIQ6UDOGS · pith_short_16: W5XIIQ6UDOGSQ4RN · pith_short_8: W5XIIQ6U

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/W5XIIQ6UDOGSQ4RNG6U2HCKUYI \
  | 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: b76e8443d41b8d28722d37a9a38954c2082504c6ecb5957727d20755d5e8481f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23201890fe137b58d620cb2ab1521b4903371a067b3a2e6bec51caea3a3daac4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-12-06T23:31:18Z",
    "title_canon_sha256": "6b8d4d3f888ff8477832143e202a5ab5ff03d8b013d1cbe09fa8886276506045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02854",
    "kind": "arxiv",
    "version": 1
  }
}