Pith Number

pith:6ASBVMG4

pith:2011:6ASBVMG4HTC4JBRT2LU3CJYF3D

not attested not anchored not stored refs pending

Shuffle algebras, homology, and consecutive pattern avoidance

Anton Khoroshkin, Vladimir Dotsenko

arxiv:1109.2690 v2 · 2011-09-13 · math.CO · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ASBVMG4HTC4JBRT2LU3CJYF3D}

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	2026-05-18T00:50:43.391294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0241ab0dc3cc5c48633d2e9b12705d8f8a7117677f23c9c1aa4102ba42e166e

Aliases

arxiv: 1109.2690 · arxiv_version: 1109.2690v2 · doi: 10.48550/arxiv.1109.2690 · pith_short_12: 6ASBVMG4HTC4 · pith_short_16: 6ASBVMG4HTC4JBRT · pith_short_8: 6ASBVMG4

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/6ASBVMG4HTC4JBRT2LU3CJYF3D \
  | 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: f0241ab0dc3cc5c48633d2e9b12705d8f8a7117677f23c9c1aa4102ba42e166e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfbc2b35d9efa9e9f7851305df36310ba089db046a21a4a136561eb6fa552204",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-13T07:33:08Z",
    "title_canon_sha256": "dff24f15df90667ae7488d2c25a3f14aa16e898c78641b8f37c11d1151bcfc3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2690",
    "kind": "arxiv",
    "version": 2
  }
}