Pith Number

pith:GCSUB7EW

pith:2013:GCSUB7EWQOJBDEUMQIKNUNOHSY

not attested not anchored not stored refs pending

A local-global principle for the telescope conjecture

Benjamin Antieau

arxiv:1304.6978 v2 · 2013-04-25 · math.AG · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCSUB7EWQOJBDEUMQIKNUNOHSY}

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	2026-05-18T03:03:44.376923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30a540fc96839211928c8214da35c7963594252456736b8ddb0c8f503101640e

Aliases

arxiv: 1304.6978 · arxiv_version: 1304.6978v2 · doi: 10.48550/arxiv.1304.6978 · pith_short_12: GCSUB7EWQOJB · pith_short_16: GCSUB7EWQOJBDEUM · pith_short_8: GCSUB7EW

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/GCSUB7EWQOJBDEUMQIKNUNOHSY \
  | 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: 30a540fc96839211928c8214da35c7963594252456736b8ddb0c8f503101640e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68baedaf01f7d458b7498a48db8c40005cf79470bfc7ad0b434e23e0da7db4a8",
    "cross_cats_sorted": [
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-25T19:10:34Z",
    "title_canon_sha256": "e5abba67ec838a3d691c4b483180e17ec31022499dedc2b30f152ca4af6ae502"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6978",
    "kind": "arxiv",
    "version": 2
  }
}