Pith Number

pith:22EI4VG6

pith:2011:22EI4VG6VYIH4KQ75L7YNXAX2G

not attested not anchored not stored refs pending

On abelian and additive complexity in infinite words

Hayri Ardal, Julian Sahasrabudhe, Tom Brown, Veselin Jungi\'c

arxiv:1107.4654 v1 · 2011-07-23 · 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{22EI4VG6VYIH4KQ75L7YNXAX2G}

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	2026-05-18T04:17:02.111506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6888e54deae107e2a1feaff86dc17d196bbd793c80175b0fe98aeca5c4dfe2f

Aliases

arxiv: 1107.4654 · arxiv_version: 1107.4654v1 · doi: 10.48550/arxiv.1107.4654 · pith_short_12: 22EI4VG6VYIH · pith_short_16: 22EI4VG6VYIH4KQ7 · pith_short_8: 22EI4VG6

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/22EI4VG6VYIH4KQ75L7YNXAX2G \
  | 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: d6888e54deae107e2a1feaff86dc17d196bbd793c80175b0fe98aeca5c4dfe2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9ecffc19cd0a650f9c4c5f7140b9a966b2f716ce9538022a006f1962660aa30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-23T04:05:16Z",
    "title_canon_sha256": "0326547b4d27057bd0718277fe4007925768147ddacc0f3a07d33b1148a3f3c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4654",
    "kind": "arxiv",
    "version": 1
  }
}