Pith Number

pith:V2HKZ3LE

pith:2017:V2HKZ3LEAPGDGXYXPAQB52TNR2

not attested not anchored not stored refs pending

Discrete Midpoint Convexity

Akihisa Tamura, Fabio Tardella, Kazuo Murota, Satoko Moriguchi

arxiv:1708.04579 v5 · 2017-08-07 · 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{V2HKZ3LEAPGDGXYXPAQB52TNR2}

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	2026-05-17T23:45:58.295550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae8eaced6403cc335f1778201eea6d8eab22986b5990a1fe889761679a92a0e6

Aliases

arxiv: 1708.04579 · arxiv_version: 1708.04579v5 · doi: 10.48550/arxiv.1708.04579 · pith_short_12: V2HKZ3LEAPGD · pith_short_16: V2HKZ3LEAPGDGXYX · pith_short_8: V2HKZ3LE

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/V2HKZ3LEAPGDGXYXPAQB52TNR2 \
  | 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: ae8eaced6403cc335f1778201eea6d8eab22986b5990a1fe889761679a92a0e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ad4b105cf65e102dd790d0e83a0a9461ba13b11efb4d38cad9082a17191a6a2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-08-07T06:50:20Z",
    "title_canon_sha256": "1f9f368bd275867c865e820eb5b74994340a3948a21cb4933b891c7bc1511fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04579",
    "kind": "arxiv",
    "version": 5
  }
}