Pith Number

pith:4ESJ52OE

pith:2017:4ESJ52OEX3Y2VRSAKCXX2LS6C3

not attested not anchored not stored refs pending

The semi-infinite intersection cohomology sheaf-II: the Ran space version

Dennis Gaitsgory

arxiv:1708.07205 v5 · 2017-08-23 · 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{4ESJ52OEX3Y2VRSAKCXX2LS6C3}

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.

Cited by

1 paper in Pith

A toy model for the Drinfeld-Lafforgue shtuka construction

Receipt and verification

First computed	2026-07-05T03:28:33.238938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1249ee9c4bef1aac64050af7d2e5e16d482d51dd8515ae324e1d81e9c03687a

Aliases

arxiv: 1708.07205 · arxiv_version: 1708.07205v5 · doi: 10.48550/arxiv.1708.07205 · pith_short_12: 4ESJ52OEX3Y2 · pith_short_16: 4ESJ52OEX3Y2VRSA · pith_short_8: 4ESJ52OE

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/4ESJ52OEX3Y2VRSAKCXX2LS6C3 \
  | 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: e1249ee9c4bef1aac64050af7d2e5e16d482d51dd8515ae324e1d81e9c03687a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "813ad101ee9d979a97882033922da51f7ed5d918fa9e9da1b0a874f288714ee0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-08-23T22:39:14Z",
    "title_canon_sha256": "6a5800fb79ff92395f7a81a85ba7f68495614166f4aa8446404b33e30e2264c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07205",
    "kind": "arxiv",
    "version": 5
  }
}