Pith Number

pith:K3542CJW

pith:2018:K3542CJWN5QDQ5W4BOQFNRIBE5

not attested not anchored not stored refs pending

Face enumeration on flag complexes and flag spheres

Hailun Zheng

arxiv:1809.06835 v2 · 2018-09-18 · 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{K3542CJWN5QDQ5W4BOQFNRIBE5}

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.

Cited by

1 paper in Pith

Induced equators in flag spheres

Receipt and verification

First computed	2026-05-18T00:00:17.994127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56fbcd09366f603876dc0ba056c501274f0f4d0c4952d197cb6232d7d9a6950a

Aliases

arxiv: 1809.06835 · arxiv_version: 1809.06835v2 · doi: 10.48550/arxiv.1809.06835 · pith_short_12: K3542CJWN5QD · pith_short_16: K3542CJWN5QDQ5W4 · pith_short_8: K3542CJW

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/K3542CJWN5QDQ5W4BOQFNRIBE5 \
  | 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: 56fbcd09366f603876dc0ba056c501274f0f4d0c4952d197cb6232d7d9a6950a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "307bb60f2c32dddccb9a16029a12a7632321b16ac70ae39e29c4fcbec12eb6be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-18T17:18:52Z",
    "title_canon_sha256": "ace38661710d7c501b82735d8cecebbcc28acc9dfa35a2b12b15c9725ffd7f43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06835",
    "kind": "arxiv",
    "version": 2
  }
}