Pith Number

pith:2VUO4TJE

pith:2019:2VUO4TJE5WDWHOBSZ5I7ZLHYWQ

not attested not anchored not stored refs pending

On measurings of algebras over operads and homology theories

Abhishek Banerjee, Surjeet Kour

arxiv:1909.13835 v4 · 2019-09-30 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2VUO4TJE5WDWHOBSZ5I7ZLHYWQ}

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	2026-07-05T00:44:06.966514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d568ee4d24ed8763b832cf51fcacf8b41e12d65eb615849744ac033ada221541

Aliases

arxiv: 1909.13835 · arxiv_version: 1909.13835v4 · doi: 10.48550/arxiv.1909.13835 · pith_short_12: 2VUO4TJE5WDW · pith_short_16: 2VUO4TJE5WDWHOBS · pith_short_8: 2VUO4TJE

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/2VUO4TJE5WDWHOBSZ5I7ZLHYWQ \
  | 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: d568ee4d24ed8763b832cf51fcacf8b41e12d65eb615849744ac033ada221541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a1fba02a66a030652a5014a9362c11f4227030cb0cc9157a2a0f49de6364875",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-09-30T16:57:19Z",
    "title_canon_sha256": "41f67b30930625bd39873c22f4e3bfd39ba6924a47f044ed7f1f596d9cff7a3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.13835",
    "kind": "arxiv",
    "version": 4
  }
}