Pith Number

pith:IFVBH27K

pith:2012:IFVBH27KGLKSCGAY5GXJFQHEHY

not attested not anchored not stored refs pending

The depth of a permutation

Bridget Eileen Tenner, T. Kyle Petersen

arxiv:1202.4765 v3 · 2012-02-21 · 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{IFVBH27KGLKSCGAY5GXJFQHEHY}

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	2026-05-18T02:44:55.396921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

416a13ebea32d5211818e9ae92c0e43e3259288a57cf89f0f4a859c8e39e35cd

Aliases

arxiv: 1202.4765 · arxiv_version: 1202.4765v3 · doi: 10.48550/arxiv.1202.4765 · pith_short_12: IFVBH27KGLKS · pith_short_16: IFVBH27KGLKSCGAY · pith_short_8: IFVBH27K

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/IFVBH27KGLKSCGAY5GXJFQHEHY \
  | 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: 416a13ebea32d5211818e9ae92c0e43e3259288a57cf89f0f4a859c8e39e35cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "762e9cc7ff0e07090164e3f69c37464da0faa5f63063507bdef6be28883f499d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-21T21:03:14Z",
    "title_canon_sha256": "e847534d8ec824debc7d68ab6ad1fe198e5e04e6565934b51efed97f99e1f3cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4765",
    "kind": "arxiv",
    "version": 3
  }
}