Pith Number

pith:YT4GRPXM

pith:2003:YT4GRPXMAQOJ3MDHN44YKCCCTB

not attested not anchored not stored refs pending

Stabilit\'e des fibr\'es $\Lambda^{p}E_{L}$ et condition de Raynaud

Olivier Schneider

arxiv:math/0309277 v1 · 2003-09-17 · 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{YT4GRPXMAQOJ3MDHN44YKCCCTB}

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	2026-07-04T14:37:43.726016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4f868beec041c9db0676f39850842985441030548e3a32f0c265b018c3267a1

Aliases

arxiv: math/0309277 · arxiv_version: math/0309277v1 · doi: 10.48550/arxiv.math/0309277 · pith_short_12: YT4GRPXMAQOJ · pith_short_16: YT4GRPXMAQOJ3MDH · pith_short_8: YT4GRPXM

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/YT4GRPXMAQOJ3MDHN44YKCCCTB \
  | 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: c4f868beec041c9db0676f39850842985441030548e3a32f0c265b018c3267a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bf70de6a1306b23b9ee8ee1ff7f6a29e199e8d51c14843795b91e902d5a4a3c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-09-17T13:41:02Z",
    "title_canon_sha256": "db366ebd9160eba7687d8569ea9e725c7d78e02088ba3cfe777a442b14932ee0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309277",
    "kind": "arxiv",
    "version": 1
  }
}