Pith Number

pith:VBI5NF2O

pith:2013:VBI5NF2OQQEZDLAGV3AZTCNPNC

not attested not anchored not stored refs pending

An upper bound theorem for a class of flag weak pseudomanifolds

Michal Adamaszek

arxiv:1303.5603 v1 · 2013-03-22 · 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{VBI5NF2OQQEZDLAGV3AZTCNPNC}

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	2026-05-18T03:30:03.711031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a851d6974e840991ac06aec19989af68a8f0208c65a27b39b034944176c6cc6a

Aliases

arxiv: 1303.5603 · arxiv_version: 1303.5603v1 · doi: 10.48550/arxiv.1303.5603 · pith_short_12: VBI5NF2OQQEZ · pith_short_16: VBI5NF2OQQEZDLAG · pith_short_8: VBI5NF2O

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/VBI5NF2OQQEZDLAGV3AZTCNPNC \
  | 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: a851d6974e840991ac06aec19989af68a8f0208c65a27b39b034944176c6cc6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b0c0ffcecae6bc774f577d96c5b4b7efffe626d3319637cf9f014879956a8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-22T12:59:01Z",
    "title_canon_sha256": "5caebfae5187ccd2506c3f2d54d5a66d396b7af3f8eff6c17bcbec9baabbfd4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5603",
    "kind": "arxiv",
    "version": 1
  }
}