Pith Number

pith:MZSK5T22

pith:2018:MZSK5T22YNS6MKKRRBDYY3GMDJ

not attested not anchored not stored refs pending

Discrete Morse theory for the collapsibility of supremum sections

Balthazar Bauer, Lucas Isenmann

arxiv:1803.09577 v2 · 2018-03-26 · cs.DM · 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{MZSK5T22YNS6MKKRRBDYY3GMDJ}

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	2026-05-18T00:16:50.006115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6664aecf5ac365e6295188478c6ccc1a7c49f089cc938819e1a1432a0f0bc52c

Aliases

arxiv: 1803.09577 · arxiv_version: 1803.09577v2 · doi: 10.48550/arxiv.1803.09577 · pith_short_12: MZSK5T22YNS6 · pith_short_16: MZSK5T22YNS6MKKR · pith_short_8: MZSK5T22

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/MZSK5T22YNS6MKKRRBDYY3GMDJ \
  | 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: 6664aecf5ac365e6295188478c6ccc1a7c49f089cc938819e1a1432a0f0bc52c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52905825555ee695ba7d212771575c83638b052967e97196d70d98316aa4e59c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-03-26T13:30:04Z",
    "title_canon_sha256": "58f102c491582643d4adf47380ed924d90464c6b84ee36ef43e6494daab3c584"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09577",
    "kind": "arxiv",
    "version": 2
  }
}