Pith Number

pith:QAR7GJ6M

pith:2013:QAR7GJ6MNPGECAYMLG2YHAJXDL

not attested not anchored not stored refs pending

Vertices of Spectrahedra arising from the Elliptope, the Theta Body, and Their Relatives

Levent Tun\c{c}el, Marcel K. de Carli Silva

arxiv:1309.7415 v1 · 2013-09-28 · math.OC · math.CO · 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{QAR7GJ6MNPGECAYMLG2YHAJXDL}

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	2026-05-18T03:11:58.770545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8023f327cc6bcc41030c59b58381371ae8f4252dc83d1ecc951e7a20d1705042

Aliases

arxiv: 1309.7415 · arxiv_version: 1309.7415v1 · doi: 10.48550/arxiv.1309.7415 · pith_short_12: QAR7GJ6MNPGE · pith_short_16: QAR7GJ6MNPGECAYM · pith_short_8: QAR7GJ6M

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/QAR7GJ6MNPGECAYMLG2YHAJXDL \
  | 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: 8023f327cc6bcc41030c59b58381371ae8f4252dc83d1ecc951e7a20d1705042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2115b8b81c9b4ab0b559d8fc8158de6b759203a4fed4741779f81109bd2c715e",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-09-28T03:10:38Z",
    "title_canon_sha256": "8484b831bd3d4c8b27e067934a94d5a0e84d018b18ef9dba4c163a83090073ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7415",
    "kind": "arxiv",
    "version": 1
  }
}