Pith Number

pith:K4KAW6GG

pith:2011:K4KAW6GG5W24IBKK7RWJU4ZCZJ

not attested not anchored not stored refs pending

Multivariate ultrametric root counting

Ashraf Ibrahim, Martin Avendano

arxiv:1107.1162 v1 · 2011-07-06 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4KAW6GG5W24IBKK7RWJU4ZCZJ}

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	2026-05-18T04:18:45.451564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57140b78c6edb5c4054afc6c9a7322ca7b154d9ab0965ecb8d7f635082863315

Aliases

arxiv: 1107.1162 · arxiv_version: 1107.1162v1 · doi: 10.48550/arxiv.1107.1162 · pith_short_12: K4KAW6GG5W24 · pith_short_16: K4KAW6GG5W24IBKK · pith_short_8: K4KAW6GG

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/K4KAW6GG5W24IBKK7RWJU4ZCZJ \
  | 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: 57140b78c6edb5c4054afc6c9a7322ca7b154d9ab0965ecb8d7f635082863315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf1104b1e5a73693195a9e6813cef835dfdb3d518c343a4e30e6d3dad3e3a287",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-06T15:37:43Z",
    "title_canon_sha256": "44c8cb75b51fb4f92cb9bccc5caec28633bc3162be2a99069b304db923a3297a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1162",
    "kind": "arxiv",
    "version": 1
  }
}