Pith Number

pith:VOWLQXF4

pith:2016:VOWLQXF4YRY6WVCIAYVI3QCQQ5

not attested not anchored not stored refs pending

Moduli of space sheaves with Hilbert polynomial 4m+1

Mario Maican

arxiv:1601.02153 v2 · 2016-01-09 · 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{VOWLQXF4YRY6WVCIAYVI3QCQQ5}

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	2026-05-18T00:45:01.784513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abacb85cbcc471eb5448062a8dc050875c996456dd0dec5a2257ab793555b095

Aliases

arxiv: 1601.02153 · arxiv_version: 1601.02153v2 · doi: 10.48550/arxiv.1601.02153 · pith_short_12: VOWLQXF4YRY6 · pith_short_16: VOWLQXF4YRY6WVCI · pith_short_8: VOWLQXF4

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/VOWLQXF4YRY6WVCIAYVI3QCQQ5 \
  | 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: abacb85cbcc471eb5448062a8dc050875c996456dd0dec5a2257ab793555b095

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38a3a90d3b8653fe283fd42eae57de0c27082fe6bfe9f61d1cea9e542432d1c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-09T19:52:13Z",
    "title_canon_sha256": "4f89aa2ea1f2df7d6963c8d85baddc67f8e4fa67ab3c30edbacfa07ceec65163"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02153",
    "kind": "arxiv",
    "version": 2
  }
}