Pith Number

pith:AX6ZG4BU

pith:2017:AX6ZG4BU6C3VGOABWGJOAKVSQT

not attested not anchored not stored refs pending

Cycle index sum for non-k-equal configurations

Keely Grossnickle, Victor Turchin

arxiv:1706.04664 v1 · 2017-06-14 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AX6ZG4BU6C3VGOABWGJOAKVSQT}

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	2026-05-18T00:42:19.404691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05fd937034f0b7533801b192e02ab284c7e1c4ccb96b3221cdd307a2d39ad1b1

Aliases

arxiv: 1706.04664 · arxiv_version: 1706.04664v1 · doi: 10.48550/arxiv.1706.04664 · pith_short_12: AX6ZG4BU6C3V · pith_short_16: AX6ZG4BU6C3VGOAB · pith_short_8: AX6ZG4BU

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/AX6ZG4BU6C3VGOABWGJOAKVSQT \
  | 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: 05fd937034f0b7533801b192e02ab284c7e1c4ccb96b3221cdd307a2d39ad1b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "380a8cae375ee8f42d6456155cfa0b54c4f72481f5ce9d349829207d9fc5c1dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-06-14T20:57:49Z",
    "title_canon_sha256": "d5415f48482dfc63c41e1866b9330e1377b9aae1e379d937594fd0e2aaf28954"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04664",
    "kind": "arxiv",
    "version": 1
  }
}