Pith Number

pith:XDZ5VWYG

pith:2015:XDZ5VWYG4F5SVZ5WXHHWMRAJHS

not attested not anchored not stored refs pending

Upper bound theorem for odd-dimensional flag triangulations of manifolds

Jan Hladk\'y, Michal Adamaszek

arxiv:1503.05961 v4 · 2015-03-19 · 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{XDZ5VWYG4F5SVZ5WXHHWMRAJHS}

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	2026-05-17T23:59:26.828151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8f3dadb06e17b2ae7b6b9cf6644093c8128cd2cd03d4b9a69b871cb012f4244

Aliases

arxiv: 1503.05961 · arxiv_version: 1503.05961v4 · doi: 10.48550/arxiv.1503.05961 · pith_short_12: XDZ5VWYG4F5S · pith_short_16: XDZ5VWYG4F5SVZ5W · pith_short_8: XDZ5VWYG

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/XDZ5VWYG4F5SVZ5WXHHWMRAJHS \
  | 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: b8f3dadb06e17b2ae7b6b9cf6644093c8128cd2cd03d4b9a69b871cb012f4244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6592a119d51ca2f2740372b15f882b6498bf95d90dcb5aec437031cce3668826",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-19T22:53:42Z",
    "title_canon_sha256": "96c24b8d503f25e7600914d6110965b620fe219bddc5ecec59e434b5c9af476e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05961",
    "kind": "arxiv",
    "version": 4
  }
}