Pith Number

pith:PRPK2V6C

pith:2013:PRPK2V6CCGAVHG5A6K5HEH6H6K

not attested not anchored not stored refs pending

Tropical convexity over max-min semiring

Sergei Sergeev, Viorel Nitica

arxiv:1303.7451 v2 · 2013-03-29 · 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{PRPK2V6CCGAVHG5A6K5HEH6H6K}

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	2026-05-17T23:50:39.111589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c5ead57c21181539ba0f2ba721fc7f29a5096dd7bf1d9f014d287a3e4a58b9e

Aliases

arxiv: 1303.7451 · arxiv_version: 1303.7451v2 · doi: 10.48550/arxiv.1303.7451 · pith_short_12: PRPK2V6CCGAV · pith_short_16: PRPK2V6CCGAVHG5A · pith_short_8: PRPK2V6C

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/PRPK2V6CCGAVHG5A6K5HEH6H6K \
  | 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: 7c5ead57c21181539ba0f2ba721fc7f29a5096dd7bf1d9f014d287a3e4a58b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b591ff8c76768d06205023c8e1e25e851aef04c7fa5502be888fdac4de34148f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-03-29T18:11:33Z",
    "title_canon_sha256": "a85438a9ac21df06a62e47f96ac7fbb7e5ceb1e502a498e14784cc71773772eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7451",
    "kind": "arxiv",
    "version": 2
  }
}