Pith Number

pith:V2RSJMMY

pith:2012:V2RSJMMYUKSBKOT2HZB22JS4WS

not attested not anchored not stored refs pending

Polytropes and Tropical Eigenspaces: Cones of Linearity

Ngoc M. Tran

arxiv:1205.3186 v2 · 2012-05-14 · 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{V2RSJMMYUKSBKOT2HZB22JS4WS}

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	2026-05-18T03:32:59.920946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aea324b198a2a4153a7a3e43ad265cb4949e54a0c3c425e7a66fbfe54ce00ab5

Aliases

arxiv: 1205.3186 · arxiv_version: 1205.3186v2 · doi: 10.48550/arxiv.1205.3186 · pith_short_12: V2RSJMMYUKSB · pith_short_16: V2RSJMMYUKSBKOT2 · pith_short_8: V2RSJMMY

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/V2RSJMMYUKSBKOT2HZB22JS4WS \
  | 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: aea324b198a2a4153a7a3e43ad265cb4949e54a0c3c425e7a66fbfe54ce00ab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb08ac44d4a85b3c951d58534b3bb2f7a7723ca1928d2cca3ec1a27d748bb59c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-14T20:16:12Z",
    "title_canon_sha256": "a99f46ed7ca64e3edfcd6ab4e450dce90d692b29934e6b59cdd289ab65d1f86b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3186",
    "kind": "arxiv",
    "version": 2
  }
}