Pith Number

pith:VBCFGUDI

pith:2019:VBCFGUDIUGMA2VQVJR2C6GRZUD

not attested not anchored not stored refs pending

Essential Dimension, Symbol Length and $p$-rank

Adam Chapman, Kelly McKinnie

arxiv:1908.08844 v3 · 2019-08-23 · math.RA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBCFGUDIUGMA2VQVJR2C6GRZUD}

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	2026-07-05T01:52:14.849129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a844535068a1980d56154c742f1a39a0f6f992125d3d499466793ac260541881

Aliases

arxiv: 1908.08844 · arxiv_version: 1908.08844v3 · doi: 10.48550/arxiv.1908.08844 · pith_short_12: VBCFGUDIUGMA · pith_short_16: VBCFGUDIUGMA2VQV · pith_short_8: VBCFGUDI

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/VBCFGUDIUGMA2VQVJR2C6GRZUD \
  | 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: a844535068a1980d56154c742f1a39a0f6f992125d3d499466793ac260541881

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec69960a64db40e97bfb90c8cbffe8567366619c61d386d5ddeffed16f725700",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-08-23T14:40:45Z",
    "title_canon_sha256": "6c0456b55fd3d20a2d2e466d5a7497c5182dbbc297d8a00b6fe341025e2fd504"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08844",
    "kind": "arxiv",
    "version": 3
  }
}