Pith Number

pith:MKFCJRFZ

pith:2017:MKFCJRFZTAYTTOZVWY3ATZIF27

not attested not anchored not stored refs pending

Shuffles of trees

Eric Hoffbeck, Ieke Moerdijk

arxiv:1705.03638 v1 · 2017-05-10 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKFCJRFZTAYTTOZVWY3ATZIF27}

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	2026-05-18T00:44:43.374956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

628a24c4b9983139bb35b63609e505d7d25e219b4c3fe2d1711b5da5df70da0a

Aliases

arxiv: 1705.03638 · arxiv_version: 1705.03638v1 · doi: 10.48550/arxiv.1705.03638 · pith_short_12: MKFCJRFZTAYT · pith_short_16: MKFCJRFZTAYTTOZV · pith_short_8: MKFCJRFZ

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/MKFCJRFZTAYTTOZVWY3ATZIF27 \
  | 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: 628a24c4b9983139bb35b63609e505d7d25e219b4c3fe2d1711b5da5df70da0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee85ac984e00733b05fa8bdf2e6bfc9e785264a01858fbe3740b6d7e6193740b",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-10T07:36:57Z",
    "title_canon_sha256": "d0526308dc3c528feb742590184117f08827a96eab94b79df2c94d2e027e4df2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03638",
    "kind": "arxiv",
    "version": 1
  }
}