Pith Number

pith:A5AM2X5F

pith:2018:A5AM2X5FUGWXEWHH73R4HWIOBC

not attested not anchored not stored refs pending

Reciprocals and Flowers in Convexity

Emanuel Milman, Liran Rotem, Vitali Milman

arxiv:1812.08709 v1 · 2018-12-20 · 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{A5AM2X5FUGWXEWHH73R4HWIOBC}

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	2026-05-17T23:57:49.338952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0740cd5fa5a1ad7258e7fee3c3d90e08a0c7482b02087c12b85e163e6a9e4935

Aliases

arxiv: 1812.08709 · arxiv_version: 1812.08709v1 · doi: 10.48550/arxiv.1812.08709 · pith_short_12: A5AM2X5FUGWX · pith_short_16: A5AM2X5FUGWXEWHH · pith_short_8: A5AM2X5F

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/A5AM2X5FUGWXEWHH73R4HWIOBC \
  | 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: 0740cd5fa5a1ad7258e7fee3c3d90e08a0c7482b02087c12b85e163e6a9e4935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe335f2a5324c00a8b52ba7d5046430a6f5c044f2a32a5a506e7993639bee18d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-12-20T17:21:10Z",
    "title_canon_sha256": "ec83a55e64f1a30e186dd246ea796b2fa83f8b42613d5c8dfe88de8dbfc9705f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08709",
    "kind": "arxiv",
    "version": 1
  }
}