Pith Number

pith:ZPIGY4VU

pith:2016:ZPIGY4VUC4ZNOX6DEMTEF3JDEE

not attested not anchored not stored refs pending

Gr\"obner Bases of Neural Ideals

Anne Shiu, Dane Miyata, Ethan Petersen, Jessica Liu, Kaitlyn Phillipson, Luis David Garc\'ia Puente, Rebecca Garcia, Ryan Kruse

arxiv:1612.05660 v3 · 2016-12-16 · q-bio.NC · math.AC · 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{ZPIGY4VUC4ZNOX6DEMTEF3JDEE}

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	2026-05-18T00:17:55.024329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbd06c72b41732d75fc3232642ed23212abc32e0dcf66c5db64f5576fbeaa9b7

Aliases

arxiv: 1612.05660 · arxiv_version: 1612.05660v3 · doi: 10.48550/arxiv.1612.05660 · pith_short_12: ZPIGY4VUC4ZN · pith_short_16: ZPIGY4VUC4ZNOX6D · pith_short_8: ZPIGY4VU

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/ZPIGY4VUC4ZNOX6DEMTEF3JDEE \
  | 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: cbd06c72b41732d75fc3232642ed23212abc32e0dcf66c5db64f5576fbeaa9b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da4a18654e242d04f6d4cde3c7ccef2771c1db0ae74ab4be0daa496af0917fb7",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2016-12-16T21:23:02Z",
    "title_canon_sha256": "a592136295626cb27b84cfa1c51f33581448514b030fe3e8a44d0df773a322e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05660",
    "kind": "arxiv",
    "version": 3
  }
}