Pith Number

pith:72MXDS4A

pith:2018:72MXDS4AA4EA6IPTISPTCHK7YE

not attested not anchored not stored refs pending

An observation on the Poincar\'e polynomials of moduli spaces of one-dimensional sheaves

Oleksandr Iena

arxiv:1805.02616 v1 · 2018-05-07 · 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{72MXDS4AA4EA6IPTISPTCHK7YE}

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	2026-05-18T00:16:39.474175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9971cb8007080f21f3449f311d5fc10754bd0daad032071c2df759102243c7

Aliases

arxiv: 1805.02616 · arxiv_version: 1805.02616v1 · doi: 10.48550/arxiv.1805.02616 · pith_short_12: 72MXDS4AA4EA · pith_short_16: 72MXDS4AA4EA6IPT · pith_short_8: 72MXDS4A

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/72MXDS4AA4EA6IPTISPTCHK7YE \
  | 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: fe9971cb8007080f21f3449f311d5fc10754bd0daad032071c2df759102243c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd633317cc0eeb31efc25afd81b8910a4b49646575145a7facb35bd860ce1815",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-05-07T16:49:06Z",
    "title_canon_sha256": "5c31a1dec0ed3464800e64725054c038df531276bfde98b26b40d0f5cb7a929e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02616",
    "kind": "arxiv",
    "version": 1
  }
}