Pith Number

pith:F7NQ7JRS

pith:2017:F7NQ7JRSH26TPPYE2M4CLJFRT6

not attested not anchored not stored refs pending

Free Multiplicities on the moduli of $X_3$

Max Wakefield, Michael DiPasquale

arxiv:1707.03961 v1 · 2017-07-13 · 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{F7NQ7JRSH26TPPYE2M4CLJFRT6}

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	2026-05-18T00:40:23.000776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fdb0fa6323ebd37bf04d33825a4b19fbf91d9bf0aeb6987e7084304267d10df

Aliases

arxiv: 1707.03961 · arxiv_version: 1707.03961v1 · doi: 10.48550/arxiv.1707.03961 · pith_short_12: F7NQ7JRSH26T · pith_short_16: F7NQ7JRSH26TPPYE · pith_short_8: F7NQ7JRS

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/F7NQ7JRSH26TPPYE2M4CLJFRT6 \
  | 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: 2fdb0fa6323ebd37bf04d33825a4b19fbf91d9bf0aeb6987e7084304267d10df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf47b4ff27f2b6ed3071c14e3b4bbc916c6b89929c9d346c884b1ab86ec4a2b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-07-13T02:22:58Z",
    "title_canon_sha256": "2a648fefe8682f6d286ba8e8c0734d80061f0730728308b833e5fbde43f53173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03961",
    "kind": "arxiv",
    "version": 1
  }
}