Pith Number

pith:JSX47SAS

pith:2014:JSX47SASBMAC4X4IJKSM35UUAT

not attested not anchored not stored refs pending

Hidden Vertices in Extensions of Polytopes

Kanstantsin Pashkovich, Stefan Weltge

arxiv:1404.2752 v2 · 2014-04-10 · 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{JSX47SASBMAC4X4IJKSM35UUAT}

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	2026-05-18T02:29:39.018645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cafcfc8120b002e5f884aa4cdf69404ee6e4ee55870422d5e5e55c19724e68c

Aliases

arxiv: 1404.2752 · arxiv_version: 1404.2752v2 · doi: 10.48550/arxiv.1404.2752 · pith_short_12: JSX47SASBMAC · pith_short_16: JSX47SASBMAC4X4I · pith_short_8: JSX47SAS

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/JSX47SASBMAC4X4IJKSM35UUAT \
  | 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: 4cafcfc8120b002e5f884aa4cdf69404ee6e4ee55870422d5e5e55c19724e68c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa3bb05e0c3b94be18ddc1b4ed24f902d6c235fe39a16db864f523e327436663",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-10T09:34:40Z",
    "title_canon_sha256": "8dc2e6e83e26d1f59841452f421e88d3b912208d54ddca9f2d5b17e9250a1036"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2752",
    "kind": "arxiv",
    "version": 2
  }
}