Pith Number

pith:O5FMASTV

pith:2017:O5FMASTV3MQRBSTIPYNHLQRZXR

not attested not anchored not stored refs pending

Wild ramification and K(pi, 1) spaces

Piotr Achinger

arxiv:1701.03197 v2 · 2017-01-12 · 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{O5FMASTV3MQRBSTIPYNHLQRZXR}

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	2026-05-18T00:30:05.903613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

774ac04a75db2110ca687e1a75c239bc7f06e372ec6aac84911ebb2cc03449df

Aliases

arxiv: 1701.03197 · arxiv_version: 1701.03197v2 · doi: 10.48550/arxiv.1701.03197 · pith_short_12: O5FMASTV3MQR · pith_short_16: O5FMASTV3MQRBSTI · pith_short_8: O5FMASTV

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/O5FMASTV3MQRBSTIPYNHLQRZXR \
  | 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: 774ac04a75db2110ca687e1a75c239bc7f06e372ec6aac84911ebb2cc03449df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2f55c543d1c75ce8aa172805bc077fb6c19a5fcdae32a67b9d5db22bef8e9a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-12T01:01:59Z",
    "title_canon_sha256": "9c61ba7b6a1545dfd9dfbd5833f8d7ca1852e58925e9fef0febfd8630f30485a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03197",
    "kind": "arxiv",
    "version": 2
  }
}