Pith Number

pith:NF72IYNC

pith:2019:NF72IYNCVKKB6OY6WNX7LNG4KV

not attested not anchored not stored refs pending

Pushouts and e-Projective Semimodules

Jawad Abuhlail, Rangga Ganzar Noegraha

arxiv:1904.01549 v2 · 2019-04-02 · math.RA · 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{NF72IYNCVKKB6OY6WNX7LNG4KV}

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	2026-05-17T23:40:11.047365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

697fa461a2aa941f3b1eb36ff5b4dc55618ada799c52e2f4ebb7daa1b8c855b6

Aliases

arxiv: 1904.01549 · arxiv_version: 1904.01549v2 · doi: 10.48550/arxiv.1904.01549 · pith_short_12: NF72IYNCVKKB · pith_short_16: NF72IYNCVKKB6OY6 · pith_short_8: NF72IYNC

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/NF72IYNCVKKB6OY6WNX7LNG4KV \
  | 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: 697fa461a2aa941f3b1eb36ff5b4dc55618ada799c52e2f4ebb7daa1b8c855b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60736fab14ce178ee794213e4a0d7f26e882e4281b5c627b05f28a718a40594f",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-04-02T17:05:49Z",
    "title_canon_sha256": "e8604def3c14f51c41dbc8c83db41b48f27d394bbe2b1db6aee7639380537790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01549",
    "kind": "arxiv",
    "version": 2
  }
}