Pith Number

pith:HCU7GGG2

pith:2016:HCU7GGG2FMB5V676W3U74IOWNB

not attested not anchored not stored refs pending

Short survey about combinatorics on words and algorithmic methods in a ring (draft)

Mikhail Kharitonov

arxiv:1612.04367 v1 · 2016-12-12 · math.RA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCU7GGG2FMB5V676W3U74IOWNB}

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	2026-05-18T00:55:04.707479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38a9f318da2b03dafbfeb6e9fe21d6685d2dd7faa141cef168cd696050a54ded

Aliases

arxiv: 1612.04367 · arxiv_version: 1612.04367v1 · doi: 10.48550/arxiv.1612.04367 · pith_short_12: HCU7GGG2FMB5 · pith_short_16: HCU7GGG2FMB5V676 · pith_short_8: HCU7GGG2

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/HCU7GGG2FMB5V676W3U74IOWNB \
  | 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: 38a9f318da2b03dafbfeb6e9fe21d6685d2dd7faa141cef168cd696050a54ded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "356b1e4365de650dc76f5c4d15075383e5b3d4ee19df68cfac81fe29e14cd2d2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-12-12T20:12:31Z",
    "title_canon_sha256": "b84d0631696dd2720b62848b329c63a77fb20cf344d86cf6cd76ddc7beaad01f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04367",
    "kind": "arxiv",
    "version": 1
  }
}