Pith Number

pith:HMXD4QAI

pith:2010:HMXD4QAI25WZC6N46ZDQCGUHQG

not attested not anchored not stored refs pending

Semidefinite geometry of the numerical range

Didier Henrion (LAAS, Fel-Cvut)

arxiv:1003.4837 v1 · 2010-03-25 · math.OC · cs.NA · math.AG · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMXD4QAI25WZC6N46ZDQCGUHQG}

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	2026-06-03T23:06:34.897889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b2e3e4008d76d9179bcf647011a87819dcb98259ccf0b2f501cd3372a060109

Aliases

arxiv: 1003.4837 · arxiv_version: 1003.4837v1 · doi: 10.48550/arxiv.1003.4837 · pith_short_12: HMXD4QAI25WZ · pith_short_16: HMXD4QAI25WZC6N4 · pith_short_8: HMXD4QAI

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/HMXD4QAI25WZC6N46ZDQCGUHQG \
  | 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: 3b2e3e4008d76d9179bcf647011a87819dcb98259ccf0b2f501cd3372a060109

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0589f519a60582de9f3b86388787e866789ac69626eb4dba02ae4f566d487b7",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AG",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-03-25T09:56:02Z",
    "title_canon_sha256": "d8686838d5717c48952b73c590940034bbedaa361be33295aae200f4ad72d65c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4837",
    "kind": "arxiv",
    "version": 1
  }
}