Pith Number

pith:APG2OCX4

pith:2016:APG2OCX4G73VGXFZTE5JX3GP7C

not attested not anchored not stored refs pending

Solving polynomial systems via homotopy continuation and monodromy

Anders Jensen, Anton Leykin, Cvetelina Hill, Jeff Sommars, Kisun Lee, Timothy Duff

arxiv:1609.08722 v4 · 2016-09-28 · math.AG · cs.MS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APG2OCX4G73VGXFZTE5JX3GP7C}

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	2026-05-18T00:18:27.061492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03cda70afc37f7535cb9993a9beccff88353e7bc58e59776b349046191e6509e

Aliases

arxiv: 1609.08722 · arxiv_version: 1609.08722v4 · doi: 10.48550/arxiv.1609.08722 · pith_short_12: APG2OCX4G73V · pith_short_16: APG2OCX4G73VGXFZ · pith_short_8: APG2OCX4

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/APG2OCX4G73VGXFZTE5JX3GP7C \
  | 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: 03cda70afc37f7535cb9993a9beccff88353e7bc58e59776b349046191e6509e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8759b4c7f6f01c27dba89b2a697e49f4a205fb27f49110106244bcff0fd8cb5",
    "cross_cats_sorted": [
      "cs.MS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-28T01:48:48Z",
    "title_canon_sha256": "efd64822b0153afe20c4e74cedfc207c2bd53f04abe228dcc55ef5cfe3f73152"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08722",
    "kind": "arxiv",
    "version": 4
  }
}