Pith Number

pith:5YEFWXIB

pith:2019:5YEFWXIBGEXLM7DTJ53TL2T67W

not attested not anchored not stored refs pending

Convexity in Greek antiquity

Athanase Papadopoulos (IRMA)

arxiv:1905.08519 v1 · 2019-05-21 · math.HO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YEFWXIBGEXLM7DTJ53TL2T67W}

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	2026-05-17T23:45:42.957228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee085b5d01312eb67c734f7735ea7efdac79c52b0703afcad3a3ff731d37a466

Aliases

arxiv: 1905.08519 · arxiv_version: 1905.08519v1 · doi: 10.48550/arxiv.1905.08519 · pith_short_12: 5YEFWXIBGEXL · pith_short_16: 5YEFWXIBGEXLM7DT · pith_short_8: 5YEFWXIB

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/5YEFWXIBGEXLM7DTJ53TL2T67W \
  | 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: ee085b5d01312eb67c734f7735ea7efdac79c52b0703afcad3a3ff731d37a466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06cc97b4b034044fe150e3089472668003d37b7d2bcb413f548b7dc80bde2092",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2019-05-21T09:47:25Z",
    "title_canon_sha256": "c13bfbbe7584253af9647b451501bdf081d37f4950366373bb59da5cd1daaf66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08519",
    "kind": "arxiv",
    "version": 1
  }
}