Pith Number

pith:ODSW7F4J

pith:2017:ODSW7F4JOOTL4UWQ4AG5TOJFMY

not attested not anchored not stored refs pending

Gaussian elements of a semicontent algebra

Jay Shapiro, Neil Epstein

arxiv:1708.02364 v2 · 2017-08-08 · 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{ODSW7F4JOOTL4UWQ4AG5TOJFMY}

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	2026-05-18T00:36:42.942199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70e56f978973a6be52d0e00dd9b925662c08697d96222793146d29880a15c7e6

Aliases

arxiv: 1708.02364 · arxiv_version: 1708.02364v2 · doi: 10.48550/arxiv.1708.02364 · pith_short_12: ODSW7F4JOOTL · pith_short_16: ODSW7F4JOOTL4UWQ · pith_short_8: ODSW7F4J

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/ODSW7F4JOOTL4UWQ4AG5TOJFMY \
  | 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: 70e56f978973a6be52d0e00dd9b925662c08697d96222793146d29880a15c7e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81578c096e73f3e79323d978e14783bc0ef668ba95140fad311407bd114f97cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-08-08T04:02:05Z",
    "title_canon_sha256": "2485cb8fdd6f997f70e5efa82abb7f17d0ae4d2e0a293168a0d88aee5da51628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02364",
    "kind": "arxiv",
    "version": 2
  }
}