Pith Number

pith:MEWJOI4H

pith:2016:MEWJOI4HMQCXUEKKBKHI7VPJWC

not attested not anchored not stored refs pending

Prolific permutations and permuted packings: downsets containing many large patterns

Bridget Eileen Tenner, Cheyne Homberger, David Bevan

arxiv:1608.06931 v3 · 2016-08-24 · 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{MEWJOI4HMQCXUEKKBKHI7VPJWC}

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	2026-05-18T00:15:05.732781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

612c97238764057a114a0a8e8fd5e9b09edebf514b22d0a667684384b75d1fb8

Aliases

arxiv: 1608.06931 · arxiv_version: 1608.06931v3 · doi: 10.48550/arxiv.1608.06931 · pith_short_12: MEWJOI4HMQCX · pith_short_16: MEWJOI4HMQCXUEKK · pith_short_8: MEWJOI4H

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/MEWJOI4HMQCXUEKKBKHI7VPJWC \
  | 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: 612c97238764057a114a0a8e8fd5e9b09edebf514b22d0a667684384b75d1fb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e345171154d0599705148e65f89074bbddfa509f7e1721cf09eec3fddef9e951",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-24T19:55:49Z",
    "title_canon_sha256": "ecf6d456c606ba30f23a43f90c797899939a52524e337b71a73e9b826be93681"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06931",
    "kind": "arxiv",
    "version": 3
  }
}