Pith Number

pith:T5FUN74D

pith:2025:T5FUN74DFFVKCSY2DX7TPCACVZ

not attested not anchored not stored refs pending

Approximation Depth of Convex Polytopes

Amir Yehudayoff, Egor Bakaev, Florestan Brunck

arxiv:2507.07779 v1 · 2025-07-10 · math.MG · cs.CG · cs.LG · 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{T5FUN74DFFVKCSY2DX7TPCACVZ}

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	2026-07-05T11:35:04.888108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f4b46ff83296aa14b1a1dff378802ae5ca4cecac53171d976a200e47840230c

Aliases

arxiv: 2507.07779 · arxiv_version: 2507.07779v1 · doi: 10.48550/arxiv.2507.07779 · pith_short_12: T5FUN74DFFVK · pith_short_16: T5FUN74DFFVKCSY2 · pith_short_8: T5FUN74D

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/T5FUN74DFFVKCSY2DX7TPCACVZ \
  | 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: 9f4b46ff83296aa14b1a1dff378802ae5ca4cecac53171d976a200e47840230c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9493cfbfa0744325396b8d9d7e609775c02ef4e15743d1ac7c9a44172fa512d8",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.LG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-07-10T13:58:55Z",
    "title_canon_sha256": "dbd816527578c9e23ddd398ad7048882dd76690133cfafff5e5db64c42c5e67d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07779",
    "kind": "arxiv",
    "version": 1
  }
}