Pith Number

pith:VX3VGBXE

pith:2015:VX3VGBXEWZXQZQX5U66RWPLPYW

not attested not anchored not stored refs pending

Local monodromy of branched covers and dimension of the branch set

Martina Aaltonen, Pekka Pankka

arxiv:1509.06617 v2 · 2015-09-22 · 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{VX3VGBXEWZXQZQX5U66RWPLPYW}

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	2026-05-18T01:15:00.297335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adf75306e4b66f0cc2fda7bd1b3d6fc5ad8519503daec3a81cad26f267ffb8f9

Aliases

arxiv: 1509.06617 · arxiv_version: 1509.06617v2 · doi: 10.48550/arxiv.1509.06617 · pith_short_12: VX3VGBXEWZXQ · pith_short_16: VX3VGBXEWZXQZQX5 · pith_short_8: VX3VGBXE

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/VX3VGBXEWZXQZQX5U66RWPLPYW \
  | 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: adf75306e4b66f0cc2fda7bd1b3d6fc5ad8519503daec3a81cad26f267ffb8f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "379548016b7d364f397a920052d8772ae86176269af18c40d8f8c76b9f49b079",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-22T14:31:28Z",
    "title_canon_sha256": "5d13b904c3507c0d93f9c0b0bb092d564318c2996e0cef1ab97d57ce3a6c7ef9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06617",
    "kind": "arxiv",
    "version": 2
  }
}