Pith Number

pith:GELLSZXG

pith:2015:GELLSZXGWDMRG6RVED3LXBEXG3

not attested not anchored not stored refs pending

Lagrangianity for log extendable overconvergent $F$-isocrystals

Daniel Caro

arxiv:1504.03969 v2 · 2015-04-15 · 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{GELLSZXGWDMRG6RVED3LXBEXG3}

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	2026-05-18T00:51:28.690944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3116b966e6b0d9137a3520f6bb849736e467cef33e75cb86b3ea63abee4e7ebf

Aliases

arxiv: 1504.03969 · arxiv_version: 1504.03969v2 · doi: 10.48550/arxiv.1504.03969 · pith_short_12: GELLSZXGWDMR · pith_short_16: GELLSZXGWDMRG6RV · pith_short_8: GELLSZXG

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/GELLSZXGWDMRG6RVED3LXBEXG3 \
  | 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: 3116b966e6b0d9137a3520f6bb849736e467cef33e75cb86b3ea63abee4e7ebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83439edeea0208c088423f245a2d64a4cab19320a5929f81b5e2de82a38c0a59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-15T16:58:03Z",
    "title_canon_sha256": "38bc05b6f3833c3573b153be4cd2e26cee206246869bfc1ce32ce64d653a583f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03969",
    "kind": "arxiv",
    "version": 2
  }
}