Pith Number

pith:2TP6WLIB

pith:2010:2TP6WLIB65W3ZGHR5764PES5KC

not attested not anchored not stored refs pending

Pullback of parabolic bundles and covers of ${\mathbb P}^1\setminus\{0,1,\infty\}$

Ajneet Dhillon, Sheldon Joyner

arxiv:1009.3595 v1 · 2010-09-18 · 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{2TP6WLIB65W3ZGHR5764PES5KC}

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	2026-05-18T03:49:12.180899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4dfeb2d01f76dbc98f1effdc7925d5097f8f4273bceccdbf6a71945f2dad5e7

Aliases

arxiv: 1009.3595 · arxiv_version: 1009.3595v1 · doi: 10.48550/arxiv.1009.3595 · pith_short_12: 2TP6WLIB65W3 · pith_short_16: 2TP6WLIB65W3ZGHR · pith_short_8: 2TP6WLIB

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/2TP6WLIB65W3ZGHR5764PES5KC \
  | 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: d4dfeb2d01f76dbc98f1effdc7925d5097f8f4273bceccdbf6a71945f2dad5e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4aa09d0e2e88b95b6049ec1e49cf3dc57f23f4ede1d5602548c7aea3113a8ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-18T23:23:43Z",
    "title_canon_sha256": "71008ce04d802383074f7df36317efe207bcdae142209266ddd4f9d8cbb7437c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3595",
    "kind": "arxiv",
    "version": 1
  }
}