Pith Number

pith:KTPF465G

pith:2015:KTPF465GLQJO4GWQUYPU643WSV

not attested not anchored not stored refs pending

Tensor, Symmetric, Exterior, and Other Powers of Persistence Modules

Leon Lampret

arxiv:1503.08266 v1 · 2015-03-28 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTPF465GLQJO4GWQUYPU643WSV}

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	2026-05-18T02:20:02.314966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54de5e7ba65c12ee1ad0a61f4f73769554a635959b6d3bc5adfd67f9b90efb6e

Aliases

arxiv: 1503.08266 · arxiv_version: 1503.08266v1 · doi: 10.48550/arxiv.1503.08266 · pith_short_12: KTPF465GLQJO · pith_short_16: KTPF465GLQJO4GWQ · pith_short_8: KTPF465G

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/KTPF465GLQJO4GWQUYPU643WSV \
  | 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: 54de5e7ba65c12ee1ad0a61f4f73769554a635959b6d3bc5adfd67f9b90efb6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bb84d099a17229e337e8a27a81b706a1e425bb50b3d16a35a45df85f43805b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-03-28T05:05:21Z",
    "title_canon_sha256": "9a05c2e5dd20e6ecc571046f7f3293d31b56801d79b142f06bbbce83b1597127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08266",
    "kind": "arxiv",
    "version": 1
  }
}