Pith Number

pith:TLVDQTG3

pith:2017:TLVDQTG3QPLOMHBKGQ6HZ5O4OJ

not attested not anchored not stored refs pending

Towards an Homological Generalization of the Direct Summand Theorem

Danny A. J. Gomez-Ramirez, Juan D. Velez

arxiv:1707.09936 v1 · 2017-07-31 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLVDQTG3QPLOMHBKGQ6HZ5O4OJ}

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	2026-05-18T00:39:07.713771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aea384cdb83d6e61c2a343c7cf5dc72434062adeae8856898ac95c4687f65f2

Aliases

arxiv: 1707.09936 · arxiv_version: 1707.09936v1 · doi: 10.48550/arxiv.1707.09936 · pith_short_12: TLVDQTG3QPLO · pith_short_16: TLVDQTG3QPLOMHBK · pith_short_8: TLVDQTG3

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/TLVDQTG3QPLOMHBKGQ6HZ5O4OJ \
  | 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: 9aea384cdb83d6e61c2a343c7cf5dc72434062adeae8856898ac95c4687f65f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ae059bdd4f179ae17ecff9f4a369d5d3054eb763bd80f88c2c7f518f44bbe2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-07-31T16:16:48Z",
    "title_canon_sha256": "cc247469f98c5964a4ce99e1232ab11ddc97bfdfee22373bac789addc41da601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09936",
    "kind": "arxiv",
    "version": 1
  }
}