Pith Number

pith:2Y3VDCBQ

pith:2015:2Y3VDCBQG3BZOMUTBYKAUQGPMK

not attested not anchored not stored refs pending

Affine reductive spaces of small dimension and left A-loops

\'Agota Figula

arxiv:1506.08707 v1 · 2015-06-29 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2Y3VDCBQG3BZOMUTBYKAUQGPMK}

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	2026-05-18T01:37:43.591941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d63751883036c39732930e140a40cf628183f0d2fe292d4cc144dcbb5e59f4e0

Aliases

arxiv: 1506.08707 · arxiv_version: 1506.08707v1 · doi: 10.48550/arxiv.1506.08707 · pith_short_12: 2Y3VDCBQG3BZ · pith_short_16: 2Y3VDCBQG3BZOMUT · pith_short_8: 2Y3VDCBQ

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/2Y3VDCBQG3BZOMUTBYKAUQGPMK \
  | 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: d63751883036c39732930e140a40cf628183f0d2fe292d4cc144dcbb5e59f4e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64c795c72c752a9a5031156b762efa3b5ac432ed7ab08e4270e84a9e98425df0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-29T16:04:11Z",
    "title_canon_sha256": "dd511c21e2fe698cf8d27cf5e86d6d96f024d1c8c32607d1c8d90fbb16f034b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08707",
    "kind": "arxiv",
    "version": 1
  }
}