Pith Number

pith:52YQTNWS

pith:2015:52YQTNWSCN72BCA7M6YUZL5K26

not attested not anchored not stored refs pending

Stability of the tangent bundle of G/P in positive characteristics

Christophe Mourougane, Indranil Biswas, Pierre-Emmanuel Chaput

arxiv:1507.03026 v2 · 2015-07-10 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52YQTNWSCN72BCA7M6YUZL5K26}

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	2026-05-17T23:54:27.244941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeb109b6d2137fa0881f67b14cafaad79a5882bb4c2993dd39bec80ec9a39377

Aliases

arxiv: 1507.03026 · arxiv_version: 1507.03026v2 · doi: 10.48550/arxiv.1507.03026 · pith_short_12: 52YQTNWSCN72 · pith_short_16: 52YQTNWSCN72BCA7 · pith_short_8: 52YQTNWS

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/52YQTNWSCN72BCA7M6YUZL5K26 \
  | 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: eeb109b6d2137fa0881f67b14cafaad79a5882bb4c2993dd39bec80ec9a39377

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f9bee37441ed13bc1cd008c2d8079e807a5e3dd09e5d8422532864054cfbb8c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-10T20:19:25Z",
    "title_canon_sha256": "90cc8aff8183c0332c0f1679e952c2704810250367e2bf8230a107fa8b69f6f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03026",
    "kind": "arxiv",
    "version": 2
  }
}