Pith Number

pith:L6RPJAE6

pith:2015:L6RPJAE6ASJ4O4KPJYDBCQVPXD

not attested not anchored not stored refs pending

A moving lemma for cycles with very ample modulus

Amalendu Krishna, Jinhyun Park

arxiv:1507.05429 v3 · 2015-07-20 · 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{L6RPJAE6ASJ4O4KPJYDBCQVPXD}

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	2026-05-18T01:03:20.396427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fa2f4809e0493c7714f4e061142afb8e5ae1a824855cd9f3744350af36a7191

Aliases

arxiv: 1507.05429 · arxiv_version: 1507.05429v3 · doi: 10.48550/arxiv.1507.05429 · pith_short_12: L6RPJAE6ASJ4 · pith_short_16: L6RPJAE6ASJ4O4KP · pith_short_8: L6RPJAE6

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/L6RPJAE6ASJ4O4KPJYDBCQVPXD \
  | 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: 5fa2f4809e0493c7714f4e061142afb8e5ae1a824855cd9f3744350af36a7191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41162131a376eacfa9e97142dce7ffbd751e4e90671086ad74f74bc1e5560064",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-20T09:59:48Z",
    "title_canon_sha256": "88300725338d2b4aaff9541118894b56bdceed592124f305e9044a3683a5adae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05429",
    "kind": "arxiv",
    "version": 3
  }
}