Pith Number

pith:76HZYCK3

pith:2020:76HZYCK3LQGGJRA7YTKFVOHTDU

not attested not anchored not stored refs pending

Numerical homotopies from Khovanskii bases

Elise Walker, Frank Sottile, Michael Burr

arxiv:2008.13055 v1 · 2020-08-29 · 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{76HZYCK3LQGGJRA7YTKFVOHTDU}

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	2026-07-05T01:31:33.953159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff8f9c095b5c0c64c41fc4d45ab8f31d21b81678e0e42bcc012a593d751139fb

Aliases

arxiv: 2008.13055 · arxiv_version: 2008.13055v1 · doi: 10.48550/arxiv.2008.13055 · pith_short_12: 76HZYCK3LQGG · pith_short_16: 76HZYCK3LQGGJRA7 · pith_short_8: 76HZYCK3

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/76HZYCK3LQGGJRA7YTKFVOHTDU \
  | 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: ff8f9c095b5c0c64c41fc4d45ab8f31d21b81678e0e42bcc012a593d751139fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86b20ad5cd77ce72c4465eb48c5b682cd0c10a0274bbfceeb6cc1b8b0920fa0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-08-29T21:08:00Z",
    "title_canon_sha256": "219d279b490225f4781d9daac5d64d009b2116de87fad05e0fb63a3ddb417b3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.13055",
    "kind": "arxiv",
    "version": 1
  }
}