Pith Number

pith:NYCTHIUN

pith:2019:NYCTHIUNT7HXHY7GRDH7KFMMJW

not attested not anchored not stored refs pending

Concave elliptic equations and generalized Khovanskii-Teissier inequalities

Tristan C. Collins

arxiv:1903.10898 v1 · 2019-03-26 · math.DG · 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{NYCTHIUNT7HXHY7GRDH7KFMMJW}

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	2026-05-17T23:50:17.303112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e0533a28d9fcf73e3e688cff5158c4d89f721e5f9b0f06a896115ca59a77aa2

Aliases

arxiv: 1903.10898 · arxiv_version: 1903.10898v1 · doi: 10.48550/arxiv.1903.10898 · pith_short_12: NYCTHIUNT7HX · pith_short_16: NYCTHIUNT7HXHY7G · pith_short_8: NYCTHIUN

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/NYCTHIUNT7HXHY7GRDH7KFMMJW \
  | 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: 6e0533a28d9fcf73e3e688cff5158c4d89f721e5f9b0f06a896115ca59a77aa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e462487ab8e144350c5f9c637ababa41a3e8df468a8525cf587f85309dad7bf",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-03-26T14:06:29Z",
    "title_canon_sha256": "ceebc1cf6813cdcbaddaf24d3b7f5687ffb4bcd3b1821fecfa6057e69c4bdfd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10898",
    "kind": "arxiv",
    "version": 1
  }
}