Pith Number

pith:PBK7T7DW

pith:2014:PBK7T7DWAPTK3DBIDCGX6CQEMU

not attested not anchored not stored refs pending

Lower Bound Theorems and a Generalized Lower Bound Conjecture for balanced simplicial complexes

Isabella Novik, Steven Klee

arxiv:1409.5094 v2 · 2014-09-17 · 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{PBK7T7DWAPTK3DBIDCGX6CQEMU}

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	2026-05-18T01:21:05.361390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7855f9fc7603e6ad8c28188d7f0a04650b8cd4274bf0a0074d12bce1de079142

Aliases

arxiv: 1409.5094 · arxiv_version: 1409.5094v2 · doi: 10.48550/arxiv.1409.5094 · pith_short_12: PBK7T7DWAPTK · pith_short_16: PBK7T7DWAPTK3DBI · pith_short_8: PBK7T7DW

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/PBK7T7DWAPTK3DBIDCGX6CQEMU \
  | 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: 7855f9fc7603e6ad8c28188d7f0a04650b8cd4274bf0a0074d12bce1de079142

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "594673173affb6a31fb07aedef57b7e9f67fd19f0c3ec753e17139226ad7e6cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-17T18:23:33Z",
    "title_canon_sha256": "2bdaee022a7202650b6e274870c14c7ded537335e68510b61bb01454b1e44315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5094",
    "kind": "arxiv",
    "version": 2
  }
}