Pith Number

pith:7FKTCBK5

pith:2015:7FKTCBK5XM7J6LFVNCTN5NSKV4

not attested not anchored not stored refs pending

Almost simplicial polytopes I. The lower and upper bound theorems

David Yost, Eran Nevo, Guillermo Pineda-Villavicencio, Julien Ugon

arxiv:1510.08258 v3 · 2015-10-28 · 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{7FKTCBK5XM7J6LFVNCTN5NSKV4}

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	2026-05-18T00:00:33.047722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f95531055dbb3e9f2cb568a6deb64aaf12bd4f8e1dc3871836c6d8a5e79b2732

Aliases

arxiv: 1510.08258 · arxiv_version: 1510.08258v3 · doi: 10.48550/arxiv.1510.08258 · pith_short_12: 7FKTCBK5XM7J · pith_short_16: 7FKTCBK5XM7J6LFV · pith_short_8: 7FKTCBK5

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/7FKTCBK5XM7J6LFVNCTN5NSKV4 \
  | 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: f95531055dbb3e9f2cb568a6deb64aaf12bd4f8e1dc3871836c6d8a5e79b2732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd37f698622ed1d43d0f52c7cd6ef5685e8817052270e4e1c64b5983a5e48e2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-28T11:22:12Z",
    "title_canon_sha256": "9cfee57e3d58f0f2ffce33b70d563c31d84e8573f96c316f72b5eabe3e1ae7ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08258",
    "kind": "arxiv",
    "version": 3
  }
}