Pith Number

pith:ENB7ZBSX

pith:2015:ENB7ZBSX7ATIMGTJINTJFX7J4L

not attested not anchored not stored refs pending

Geometric and analytic structures on the higher ad\`eles

Jesse Wolfson, Michael Groechenig, Oliver Braunling

arxiv:1510.05597 v2 · 2015-10-19 · 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{ENB7ZBSX7ATIMGTJINTJFX7J4L}

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	2026-05-18T00:33:24.131084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2343fc8657f826861a69436692dfe9e2f2944c7fc50e48aeddcc46d56db66089

Aliases

arxiv: 1510.05597 · arxiv_version: 1510.05597v2 · doi: 10.48550/arxiv.1510.05597 · pith_short_12: ENB7ZBSX7ATI · pith_short_16: ENB7ZBSX7ATIMGTJ · pith_short_8: ENB7ZBSX

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/ENB7ZBSX7ATIMGTJINTJFX7J4L \
  | 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: 2343fc8657f826861a69436692dfe9e2f2944c7fc50e48aeddcc46d56db66089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03ffa74bd33975d464f78ea5ddeeb0a4f47627988bd42efedfba21621acde056",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-19T17:39:02Z",
    "title_canon_sha256": "3bb30a70adba01a30d779db928715a9e6eb886d3e2e13613cd5dfb2dfd6a66a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05597",
    "kind": "arxiv",
    "version": 2
  }
}