Pith Number

pith:IJPL7J6I

pith:2012:IJPL7J6I4YVVA5WXAOBMNYEXAY

not attested not anchored not stored refs pending

Characterization of tropical hemispaces by (P,R)-decompositions

Ricardo D. Katz, Sergei Sergeev, Viorel Nitica

arxiv:1210.0117 v2 · 2012-09-29 · 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{IJPL7J6I4YVVA5WXAOBMNYEXAY}

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	2026-05-17T23:50:39.129969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

425ebfa7c8e62b5076d70382c6e0970616c9ef01860050a5b09403497b6d61e7

Aliases

arxiv: 1210.0117 · arxiv_version: 1210.0117v2 · doi: 10.48550/arxiv.1210.0117 · pith_short_12: IJPL7J6I4YVV · pith_short_16: IJPL7J6I4YVVA5WX · pith_short_8: IJPL7J6I

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/IJPL7J6I4YVVA5WXAOBMNYEXAY \
  | 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: 425ebfa7c8e62b5076d70382c6e0970616c9ef01860050a5b09403497b6d61e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1ec5b5c4bfbc2364b4ae8c89049000c12c3e9b9a47eeda021a3d01dd6c07387",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-09-29T15:24:50Z",
    "title_canon_sha256": "c84fe83bba2f2e65299a5dc93c6916aa50edf28532082c249b697691217624d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0117",
    "kind": "arxiv",
    "version": 2
  }
}