Pith Number

pith:NDBWFUKX

pith:2015:NDBWFUKXR3GRIMUCWKQZOXT2M3

not attested not anchored not stored refs pending

A lower bound for the determinantal complexity of a hypersurface

Jarod Alper, Mauricio Velasco, Tristram Bogart

arxiv:1505.02205 v1 · 2015-05-08 · cs.CC · 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{NDBWFUKXR3GRIMUCWKQZOXT2M3}

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	2026-05-18T02:16:19.587710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68c362d1578ecd143282b2a1975e7a66f1125cdd489f2d14f869201ef61e0c25

Aliases

arxiv: 1505.02205 · arxiv_version: 1505.02205v1 · doi: 10.48550/arxiv.1505.02205 · pith_short_12: NDBWFUKXR3GR · pith_short_16: NDBWFUKXR3GRIMUC · pith_short_8: NDBWFUKX

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/NDBWFUKXR3GRIMUCWKQZOXT2M3 \
  | 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: 68c362d1578ecd143282b2a1975e7a66f1125cdd489f2d14f869201ef61e0c25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2f9e3f10e23f7257503c04bf3d932bd13772ac76df7b01f8d514117fd07c7f2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-05-08T23:01:13Z",
    "title_canon_sha256": "41e05e4658a92f593278df373c8d7023c8e2daa9d44857d376c37127e2c11abc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02205",
    "kind": "arxiv",
    "version": 1
  }
}