Pith Number

pith:2M2K2J5U

pith:2015:2M2K2J5UOLMR2KHGYD5T6IHYGN

not attested not anchored not stored refs pending

On the bumpy fundamental group scheme

Marco Antei

arxiv:1511.07331 v1 · 2015-11-23 · 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{2M2K2J5UOLMR2KHGYD5T6IHYGN}

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	2026-05-18T01:26:11.644624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d334ad27b472d91d28e6c0fb3f20f83361a10351d29c1799a72379002727cf84

Aliases

arxiv: 1511.07331 · arxiv_version: 1511.07331v1 · doi: 10.48550/arxiv.1511.07331 · pith_short_12: 2M2K2J5UOLMR · pith_short_16: 2M2K2J5UOLMR2KHG · pith_short_8: 2M2K2J5U

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/2M2K2J5UOLMR2KHGYD5T6IHYGN \
  | 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: d334ad27b472d91d28e6c0fb3f20f83361a10351d29c1799a72379002727cf84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5410667425decef856fdea6667dd352da74d1a9ca6fe46d78399803dee6f99f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-23T17:35:25Z",
    "title_canon_sha256": "e2fd5839c122f51699b6a0bb01ca841df9af124da9505604e34148314302e5c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07331",
    "kind": "arxiv",
    "version": 1
  }
}