Pith Number

pith:4MORLL5E

pith:2016:4MORLL5E75QXUF2MHSGNOJKNGI

not attested not anchored not stored refs pending

Spectrahedral shadows

Claus Scheiderer

arxiv:1612.07048 v3 · 2016-12-21 · math.OC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MORLL5E75QXUF2MHSGNOJKNGI}

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	2026-05-18T00:29:01.740253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e31d15afa4ff617a174c3c8cd7254d3200f3ea2078d0d02a2b4e689e6711f937

Aliases

arxiv: 1612.07048 · arxiv_version: 1612.07048v3 · doi: 10.48550/arxiv.1612.07048 · pith_short_12: 4MORLL5E75QX · pith_short_16: 4MORLL5E75QXUF2M · pith_short_8: 4MORLL5E

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/4MORLL5E75QXUF2MHSGNOJKNGI \
  | 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: e31d15afa4ff617a174c3c8cd7254d3200f3ea2078d0d02a2b4e689e6711f937

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01e6a95f9be6e7c015e4a42580f1ec93e0ad45f1b5de59d0a043efda46173e42",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-21T10:37:14Z",
    "title_canon_sha256": "be15afe6ab4c4cac89013d4b6a6e2a03847fe0fbc9e43d902ae8999ce4158018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07048",
    "kind": "arxiv",
    "version": 3
  }
}