Pith Number

pith:CM2P22GK

pith:2016:CM2P22GKJ5MVF57BOSNBK7EI66

not attested not anchored not stored refs pending

Graphs, $\mathbb{F}_1$-schemes and virtual mixed Tate motives

Koen Thas, Manuel Merida-Angulo

arxiv:1611.07806 v1 · 2016-11-23 · 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{CM2P22GKJ5MVF57BOSNBK7EI66}

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	2026-05-18T00:56:59.775184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1334fd68ca4f5952f7e1749a157c88f7a827c0692bcf3cda11ce03e80b58cb96

Aliases

arxiv: 1611.07806 · arxiv_version: 1611.07806v1 · doi: 10.48550/arxiv.1611.07806 · pith_short_12: CM2P22GKJ5MV · pith_short_16: CM2P22GKJ5MVF57B · pith_short_8: CM2P22GK

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/CM2P22GKJ5MVF57BOSNBK7EI66 \
  | 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: 1334fd68ca4f5952f7e1749a157c88f7a827c0692bcf3cda11ce03e80b58cb96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "820a30a7d0e0506cc10f611b49add9f0123bec5a244726411d576d109e2125ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-23T14:19:14Z",
    "title_canon_sha256": "bc3845cb2b006e0c8590a804a8ed7073b73f3877ee87a311795160401470bd3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07806",
    "kind": "arxiv",
    "version": 1
  }
}