Pith Number

pith:TKCVVZQM

pith:2012:TKCVVZQMCS6RUU3WLVIM3A5H65

not attested not anchored not stored refs pending

On the class of graphs with strong mixing properties

K.V Isaeva (MIPT), Mikhail Isaev (CMAP)

arxiv:1203.6880 v2 · 2012-03-30 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKCVVZQMCS6RUU3WLVIM3A5H65}

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	2026-05-18T03:04:34.318158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a855ae60c14bd1a53765d50cd83a7f77bc103aece3849e44b6040851502f8d0

Aliases

arxiv: 1203.6880 · arxiv_version: 1203.6880v2 · doi: 10.48550/arxiv.1203.6880 · pith_short_12: TKCVVZQMCS6R · pith_short_16: TKCVVZQMCS6RUU3W · pith_short_8: TKCVVZQM

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/TKCVVZQMCS6RUU3WLVIM3A5H65 \
  | 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: 9a855ae60c14bd1a53765d50cd83a7f77bc103aece3849e44b6040851502f8d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cb418f19748710129ac4c6e66a57087fccfd7c97c75b9feae299dcbd903d052",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-30T18:17:21Z",
    "title_canon_sha256": "7aabc1125fb16196d426771a0bdcbcc48715ea4f8bf3cf952f5108deed74642a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6880",
    "kind": "arxiv",
    "version": 2
  }
}