Pith Number

pith:V7N3D5KJ

pith:2011:V7N3D5KJO3JMYKDTVTM7DRHILL

not attested not anchored not stored refs pending

Equivalence Classes of Permutations under Various Relations Generated by Constrained Transpositions

James Propp, Julian West, Steven Linton, Tom Roby

arxiv:1111.3920 v1 · 2011-11-16 · 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{V7N3D5KJO3JMYKDTVTM7DRHILL}

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	2026-05-18T04:08:12.857209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afdbb1f54976d2cc2873acd9f1c4e85aebf6ca7724575a8a229dd75814e38bb1

Aliases

arxiv: 1111.3920 · arxiv_version: 1111.3920v1 · doi: 10.48550/arxiv.1111.3920 · pith_short_12: V7N3D5KJO3JM · pith_short_16: V7N3D5KJO3JMYKDT · pith_short_8: V7N3D5KJ

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/V7N3D5KJO3JMYKDTVTM7DRHILL \
  | 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: afdbb1f54976d2cc2873acd9f1c4e85aebf6ca7724575a8a229dd75814e38bb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32861b4216575b6e502c8f65f123f77186796c1f2d6e5440392a42708a09b319",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-16T19:34:05Z",
    "title_canon_sha256": "d96bd99e99ff7f046381c98e0536b6c1d150af9f9869c3cae5f19a09885a8af4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3920",
    "kind": "arxiv",
    "version": 1
  }
}