Pith Number

pith:E6HDOQWM

pith:2026:E6HDOQWMV67RLJBWJSBRGDY5QI

not attested not anchored not stored refs pending

Ind-Banach approach to Grothendieck duality in Rigid-analytic geometry

Arun Soor

arxiv:2606.10057 v1 · 2026-06-08 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E6HDOQWMV67RLJBWJSBRGDY5QI}

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	2026-06-10T00:08:46.802129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

278e3742ccafbf15a4364c83130f1d8206a69d62dccd5006a9ba1cbe15a7659c

Aliases

arxiv: 2606.10057 · arxiv_version: 2606.10057v1 · doi: 10.48550/arxiv.2606.10057 · pith_short_12: E6HDOQWMV67R · pith_short_16: E6HDOQWMV67RLJBW · pith_short_8: E6HDOQWM

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/E6HDOQWMV67RLJBWJSBRGDY5QI \
  | 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: 278e3742ccafbf15a4364c83130f1d8206a69d62dccd5006a9ba1cbe15a7659c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "402ddcf8fa92b9760d7240c238bd7e3ae3f049f2c74134849c2d7765c8c8b405",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-08T18:33:56Z",
    "title_canon_sha256": "e3fae55e0ef35e2df07500223d3cd419959cdef7a79696f747a2238d7ca6feeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10057",
    "kind": "arxiv",
    "version": 1
  }
}