Pith Number

pith:YGXEOGK3

pith:2015:YGXEOGK34HX3FOZBCDGJMUWJMR

not attested not anchored not stored refs pending

Adelic Descent Theory

Michael Groechenig

arxiv:1511.06271 v2 · 2015-11-19 · 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{YGXEOGK34HX3FOZBCDGJMUWJMR}

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	2026-05-17T23:53:34.327960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1ae47195be1efb2bb2110cc9652c964465c8c990be3f7d1ff66f5ee00ac5917

Aliases

arxiv: 1511.06271 · arxiv_version: 1511.06271v2 · doi: 10.48550/arxiv.1511.06271 · pith_short_12: YGXEOGK34HX3 · pith_short_16: YGXEOGK34HX3FOZB · pith_short_8: YGXEOGK3

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/YGXEOGK34HX3FOZBCDGJMUWJMR \
  | 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: c1ae47195be1efb2bb2110cc9652c964465c8c990be3f7d1ff66f5ee00ac5917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffa1f033a04e9d6c4a8b16e55ba11d3d66cf3995f00210ca9830f6b66b98fd72",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-19T17:34:50Z",
    "title_canon_sha256": "5c60edf2d379153e44b515e77732c3bb4da29202f5488baf856c199441641f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06271",
    "kind": "arxiv",
    "version": 2
  }
}