Pith Number

pith:U7AFEZ2Q

pith:2015:U7AFEZ2Q62PFFHEEIM73NTIX3L

not attested not anchored not stored refs pending

On the singular sheaves in the fine Simpson moduli spaces of $1$-dimensional sheaves

Alain Leytem, Oleksandr Iena

arxiv:1511.01847 v2 · 2015-11-05 · 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{U7AFEZ2Q62PFFHEEIM73NTIX3L}

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	2026-05-18T01:13:37.929667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7c0526750f69e529c84433fb6cd17dad7d67ae2cd1e7dc5557f1e33b92953f6

Aliases

arxiv: 1511.01847 · arxiv_version: 1511.01847v2 · doi: 10.48550/arxiv.1511.01847 · pith_short_12: U7AFEZ2Q62PF · pith_short_16: U7AFEZ2Q62PFFHEE · pith_short_8: U7AFEZ2Q

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/U7AFEZ2Q62PFFHEEIM73NTIX3L \
  | 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: a7c0526750f69e529c84433fb6cd17dad7d67ae2cd1e7dc5557f1e33b92953f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aac55ea38e4641d7a6ad274566e5256f978bd239c7198fccd1586ba950217bb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-05T18:31:59Z",
    "title_canon_sha256": "4b9909a73c56e92797f6592fe34394d0f8d49adb1d486169adc93852ca6afb9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01847",
    "kind": "arxiv",
    "version": 2
  }
}