Pith Number

pith:6CWJV4AK

pith:2016:6CWJV4AKSTYXYCYJ2JJOFBSQUF

not attested not anchored not stored refs pending

Mixing Properties for Hom-Shifts and the Distance between Walks on Associated Graphs

Brian Marcus, Nishant Chandgotia

arxiv:1607.08357 v4 · 2016-07-28 · math.DS · 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{6CWJV4AKSTYXYCYJ2JJOFBSQUF}

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	2026-05-18T00:20:59.258896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0ac9af00a94f17c0b09d252e28650a171671fda99533c6ec6fe6edb27dcb50c

Aliases

arxiv: 1607.08357 · arxiv_version: 1607.08357v4 · doi: 10.48550/arxiv.1607.08357 · pith_short_12: 6CWJV4AKSTYX · pith_short_16: 6CWJV4AKSTYXYCYJ · pith_short_8: 6CWJV4AK

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/6CWJV4AKSTYXYCYJ2JJOFBSQUF \
  | 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: f0ac9af00a94f17c0b09d252e28650a171671fda99533c6ec6fe6edb27dcb50c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a98a03f3d9a40cf8a9c870c8ba49ceb3a4430e7e6c7b9d1716adde8b98dc6b4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-07-28T08:44:29Z",
    "title_canon_sha256": "9d34f13720ba0aa7df315a7f3a54b8334d3d7b32d4599b7b1997a394a0b7c196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08357",
    "kind": "arxiv",
    "version": 4
  }
}