Pith Number

pith:DPGXWEUM

pith:2018:DPGXWEUMJPH3RMSZJWCT4WIP4Q

not attested not anchored not stored refs pending

Flag-approximability of convex bodies and volume growth of Hilbert geometries

Constantin Vernicos, Cormac Walsh

arxiv:1809.09471 v1 · 2018-09-25 · math.MG · 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{DPGXWEUMJPH3RMSZJWCT4WIP4Q}

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	2026-05-18T00:04:53.202435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bcd7b128c4bcfb8b2594d853e590fe4356b6fac2fb4661ac59cc5da9d6a9abf

Aliases

arxiv: 1809.09471 · arxiv_version: 1809.09471v1 · doi: 10.48550/arxiv.1809.09471 · pith_short_12: DPGXWEUMJPH3 · pith_short_16: DPGXWEUMJPH3RMSZ · pith_short_8: DPGXWEUM

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/DPGXWEUMJPH3RMSZJWCT4WIP4Q \
  | 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: 1bcd7b128c4bcfb8b2594d853e590fe4356b6fac2fb4661ac59cc5da9d6a9abf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a83f2efca1f089b893bcb7c40bd38e676f631e2dc286e001c9949abee703e48",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-09-25T13:35:16Z",
    "title_canon_sha256": "888348ce5d7f89bfb89b43639ca00d00f719686941673cb1ea14666ab31250f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09471",
    "kind": "arxiv",
    "version": 1
  }
}