Pith Number

pith:5WUMUAP6

pith:2017:5WUMUAP6T3EOH33LAOPFAUM7KA

not attested not anchored not stored refs pending

Parabolic degrees and Lyapunov exponents for hypergeometric local systems

Charles Fougeron

arxiv:1701.08387 v1 · 2017-01-29 · math.AG · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WUMUAP6T3EOH33LAOPFAUM7KA}

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	2026-05-18T00:51:54.292460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eda8ca01fe9ec8e3ef6b039e50519f503247c856d2c47e4fffcf3d5d4d0a5eea

Aliases

arxiv: 1701.08387 · arxiv_version: 1701.08387v1 · doi: 10.48550/arxiv.1701.08387 · pith_short_12: 5WUMUAP6T3EO · pith_short_16: 5WUMUAP6T3EOH33L · pith_short_8: 5WUMUAP6

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/5WUMUAP6T3EOH33LAOPFAUM7KA \
  | 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: eda8ca01fe9ec8e3ef6b039e50519f503247c856d2c47e4fffcf3d5d4d0a5eea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abbd4240cbe07223e33e7342f3f16ad0c66da798fdd106a11a6c6af1c005d2bc",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-29T14:32:55Z",
    "title_canon_sha256": "23d9819c7c87300fe56ceea6ef662c3f66fc380d5bd27848155eec8bde3f92f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08387",
    "kind": "arxiv",
    "version": 1
  }
}