Pith Number

pith:2MHXV6Q6

pith:2019:2MHXV6Q6PBK53S7YCU3SBEG7M7

not attested not anchored not stored refs pending

Winding Number of $r$-modular sequences and Applications to the Singularity Content of a Fano Polygon

Akihiro Higashitani, Daniel Cavey

arxiv:1901.10929 v1 · 2019-01-30 · math.CO · 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{2MHXV6Q6PBK53S7YCU3SBEG7M7}

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	2026-05-17T23:55:05.708367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d30f7afa1e7855ddcbf815372090df67f3a8ae9ed3db20554bc6308a24b4aa02

Aliases

arxiv: 1901.10929 · arxiv_version: 1901.10929v1 · doi: 10.48550/arxiv.1901.10929 · pith_short_12: 2MHXV6Q6PBK5 · pith_short_16: 2MHXV6Q6PBK53S7Y · pith_short_8: 2MHXV6Q6

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/2MHXV6Q6PBK53S7YCU3SBEG7M7 \
  | 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: d30f7afa1e7855ddcbf815372090df67f3a8ae9ed3db20554bc6308a24b4aa02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "336460c90dd02172a3382321c32ccc2faefa3dcc87fe6a4a0a274fc26fb91c68",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-30T16:22:01Z",
    "title_canon_sha256": "e348f1a5a0a68fe3bb6a902348912ddb51b6c4c4940b836927714e6e7708c9e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10929",
    "kind": "arxiv",
    "version": 1
  }
}