Pith Number

pith:4FHTZ5OM

pith:2011:4FHTZ5OMJ57K4IXAENB3Z2U2FC

not attested not anchored not stored refs pending

Discriminants, symmetrized graph monomials, and sums of squares

Boris Shapiro, Per Alexandersson

arxiv:1104.0589 v1 · 2011-04-04 · 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{4FHTZ5OMJ57K4IXAENB3Z2U2FC}

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	2026-05-18T01:24:37.199185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e14f3cf5cc4f7eae22e02343bcea9a28a6c93ec105a24a98c25e1e17259cf32e

Aliases

arxiv: 1104.0589 · arxiv_version: 1104.0589v1 · doi: 10.48550/arxiv.1104.0589 · pith_short_12: 4FHTZ5OMJ57K · pith_short_16: 4FHTZ5OMJ57K4IXA · pith_short_8: 4FHTZ5OM

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/4FHTZ5OMJ57K4IXAENB3Z2U2FC \
  | 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: e14f3cf5cc4f7eae22e02343bcea9a28a6c93ec105a24a98c25e1e17259cf32e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5798590cd690fbd09b110360f95d8963f97f07e034678ba8dd57222454e8d1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-04T14:48:29Z",
    "title_canon_sha256": "2a85cbe7d5d736fe1fadb0fc9dc73d396c67695c8223cb193ca8b2c0656d6f73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0589",
    "kind": "arxiv",
    "version": 1
  }
}