Pith Number

pith:ZOD6SXTB

pith:2017:ZOD6SXTBNQP2KVC3KTXKPXXS6I

not attested not anchored not stored refs pending

Stability of depth functions of cover ideals of balanced hypergraphs

Nguyen Thu Hang

arxiv:1711.09178 v1 · 2017-11-25 · math.AC · 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{ZOD6SXTBNQP2KVC3KTXKPXXS6I}

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	2026-05-18T00:29:40.312920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb87e95e616c1fa5545b54eea7def2f216558699dbedea6a171d72606c88b2a2

Aliases

arxiv: 1711.09178 · arxiv_version: 1711.09178v1 · doi: 10.48550/arxiv.1711.09178 · pith_short_12: ZOD6SXTBNQP2 · pith_short_16: ZOD6SXTBNQP2KVC3 · pith_short_8: ZOD6SXTB

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/ZOD6SXTBNQP2KVC3KTXKPXXS6I \
  | 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: cb87e95e616c1fa5545b54eea7def2f216558699dbedea6a171d72606c88b2a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d26712474f34ee6e9aae4d4218f7adc0f3e71924c120cefdea3da18cbe18f27",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-11-25T01:53:27Z",
    "title_canon_sha256": "25415df7222c66704b3f9c53a6f4771b868ed014d149068cb0126696724263cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09178",
    "kind": "arxiv",
    "version": 1
  }
}