Pith Number

pith:QOOE5ERR

pith:2011:QOOE5ERRSOCEFTA2XLK5VCWAL6

not attested not anchored not stored refs pending

Polytopes with mass linear functions II: the 4-dimensional case

Dusa McDuff, Susan Tolman

arxiv:1106.1623 v1 · 2011-06-08 · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOOE5ERRSOCEFTA2XLK5VCWAL6}

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	2026-05-18T04:20:22.640142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

839c4e9231938442cc1abad5da8ac05faa2b2e59ae9c6cfef6574f5b2faaf7b2

Aliases

arxiv: 1106.1623 · arxiv_version: 1106.1623v1 · doi: 10.48550/arxiv.1106.1623 · pith_short_12: QOOE5ERRSOCE · pith_short_16: QOOE5ERRSOCEFTA2 · pith_short_8: QOOE5ERR

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/QOOE5ERRSOCEFTA2XLK5VCWAL6 \
  | 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: 839c4e9231938442cc1abad5da8ac05faa2b2e59ae9c6cfef6574f5b2faaf7b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56fbe9b6effc94e27ffc63e8dfdbda48d246be39492e65fa3268551419b863ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-06-08T19:07:38Z",
    "title_canon_sha256": "98dedfe9f79e4e73c11ecdc0d1a537f6e58d347729a77acdfa1c1eee4969b4c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1623",
    "kind": "arxiv",
    "version": 1
  }
}