Pith Number

pith:7LBKJWI2

pith:2009:7LBKJWI2PV2XM7OXHMGNFYDSZZ

not attested not anchored not stored refs pending

Hurwitz equivalence of braid monodromies and extremal elliptic surfaces

Alex Degtyarev

arxiv:0911.0278 v1 · 2009-11-02 · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7LBKJWI2PV2XM7OXHMGNFYDSZZ}

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	2026-05-18T04:05:59.491700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fac2a4d91a7d75767dd73b0cd2e072ce7528bc337cdab53f6d789f218a4c7cf6

Aliases

arxiv: 0911.0278 · arxiv_version: 0911.0278v1 · doi: 10.48550/arxiv.0911.0278 · pith_short_12: 7LBKJWI2PV2X · pith_short_16: 7LBKJWI2PV2XM7OX · pith_short_8: 7LBKJWI2

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/7LBKJWI2PV2XM7OXHMGNFYDSZZ \
  | 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: fac2a4d91a7d75767dd73b0cd2e072ce7528bc337cdab53f6d789f218a4c7cf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44a927be2c5dfc6f6cd103c8316a8376e2df74e6abe47ab63e706bbe428cbab0",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-11-02T10:36:55Z",
    "title_canon_sha256": "1701bac984def4721b9124b31f7b1ee885d17a2c3da559693342e21c736cbe29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0278",
    "kind": "arxiv",
    "version": 1
  }
}