Pith Number

pith:XSLMXPXH

pith:2017:XSLMXPXHUR3TTUXQ6KZNWIHZTD

not attested not anchored not stored refs pending

Matrix Method for Persistence Modules on Commutative Ladders of Finite Type

Emerson G. Escolar, Hideto Asashiba, Hiroshi Takeuchi, Yasuaki Hiraoka

arxiv:1706.10027 v2 · 2017-06-30 · math.RT · 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{XSLMXPXHUR3TTUXQ6KZNWIHZTD}

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	2026-05-18T00:05:00.533095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc96cbbee7a47739d2f0f2b2db20f998d08aaabffd1458642b355c7491265b7a

Aliases

arxiv: 1706.10027 · arxiv_version: 1706.10027v2 · doi: 10.48550/arxiv.1706.10027 · pith_short_12: XSLMXPXHUR3T · pith_short_16: XSLMXPXHUR3TTUXQ · pith_short_8: XSLMXPXH

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/XSLMXPXHUR3TTUXQ6KZNWIHZTD \
  | 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: bc96cbbee7a47739d2f0f2b2db20f998d08aaabffd1458642b355c7491265b7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afa17b344ff7352b2a5c60de657329af2312b95251b7e997bb3a3ce3771b3472",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-06-30T05:42:45Z",
    "title_canon_sha256": "8df64addc1f85d5cf63671a118c0635c12cbb250355d2694090f0d03c65fac7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.10027",
    "kind": "arxiv",
    "version": 2
  }
}