Pith Number

pith:M3O4R23T

pith:2012:M3O4R23TL5PIFU6VCESRX762YP

not attested not anchored not stored refs pending

Deformations of Non-Compact, Projective Manifolds

Samuel A. Ballas

arxiv:1210.8419 v2 · 2012-10-31 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3O4R23TL5PIFU6VCESRX762YP}

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	2026-05-18T02:32:54.600513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66ddc8eb735f5e82d3d511251bffdac3ccd8012f5e97ed6ee928eab4e423b01b

Aliases

arxiv: 1210.8419 · arxiv_version: 1210.8419v2 · doi: 10.48550/arxiv.1210.8419 · pith_short_12: M3O4R23TL5PI · pith_short_16: M3O4R23TL5PIFU6V · pith_short_8: M3O4R23T

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/M3O4R23TL5PIFU6VCESRX762YP \
  | 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: 66ddc8eb735f5e82d3d511251bffdac3ccd8012f5e97ed6ee928eab4e423b01b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f1aaa5857789768e752f4a04fc9a08d935d3487f20048f8eca093a1004944d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-31T17:59:35Z",
    "title_canon_sha256": "da2fbedf307b6110dd937572eeebf88e401eda000c8c160e9621480fb1a3c571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8419",
    "kind": "arxiv",
    "version": 2
  }
}