pith. sign in
Pith Number

pith:2RW64TM4

pith:2015:2RW64TM43UTJJTGI5KAEUQLDJP
not attested not anchored not stored refs pending

Manifolds with vectorial torsion

Ilka Agricola, Margarita Kraus

arxiv:1509.08944 v1 · 2015-09-29 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2RW64TM43UTJJTGI5KAEUQLDJP}

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 2026-05-18T01:31:29.424033Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d46dee4d9cdd2694ccc8ea804a41634bc2befe8b6c936211fe3ad581d48e16db

Aliases

arxiv: 1509.08944 · arxiv_version: 1509.08944v1 · doi: 10.48550/arxiv.1509.08944 · pith_short_12: 2RW64TM43UTJ · pith_short_16: 2RW64TM43UTJJTGI · pith_short_8: 2RW64TM4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2RW64TM43UTJJTGI5KAEUQLDJP \
  | 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: d46dee4d9cdd2694ccc8ea804a41634bc2befe8b6c936211fe3ad581d48e16db
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "009c4b5dfd5f50865d538765ab9f575c850a527e6b50b1a195e143ede52acb5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-09-29T20:34:38Z",
    "title_canon_sha256": "804037568d60ae6c01fa50967853c183db49383f88719ee9c66508c2e2f313a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08944",
    "kind": "arxiv",
    "version": 1
  }
}