Pith Number

pith:LOFSF4AT

pith:2010:LOFSF4ATRZZ4A6V5IQ2BHN3TV3

not attested not anchored not stored refs pending

Valuations and asymptotic invariants for sequences of ideals

Mattias Jonsson, Mircea Mustata

arxiv:1011.3699 v3 · 2010-11-16 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LOFSF4ATRZZ4A6V5IQ2BHN3TV3}

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	2026-05-18T04:10:37.261168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b8b22f0138e73c07abd443413b773aef13bbb5612b5163d59590d6223e37e99

Aliases

arxiv: 1011.3699 · arxiv_version: 1011.3699v3 · doi: 10.48550/arxiv.1011.3699 · pith_short_12: LOFSF4ATRZZ4 · pith_short_16: LOFSF4ATRZZ4A6V5 · pith_short_8: LOFSF4AT

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/LOFSF4ATRZZ4A6V5IQ2BHN3TV3 \
  | 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: 5b8b22f0138e73c07abd443413b773aef13bbb5612b5163d59590d6223e37e99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d2bee466f526d3611c17dee9ba474b0e84710a483dd0d74876071077afb4ac2",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-16T14:07:58Z",
    "title_canon_sha256": "ba9bad6d746dccbefa0a38d619c731846e9518195d37102fbfdc5f94f4c785b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3699",
    "kind": "arxiv",
    "version": 3
  }
}