Pith Number

pith:4AM7EG7S

pith:2017:4AM7EG7SPGUAACGNNFJ2I5EAK7

not attested not anchored not stored refs pending

Gluing semigroups and strongly indispensable free resolutions

Leah Gold Stella, Mesut \c{S}ahin

arxiv:1710.09298 v2 · 2017-10-25 · 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{4AM7EG7SPGUAACGNNFJ2I5EAK7}

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	2026-05-18T00:04:23.949143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e019f21bf279a80008cd6953a4748057dded7384a1a414035b3e502e9ef3bc37

Aliases

arxiv: 1710.09298 · arxiv_version: 1710.09298v2 · doi: 10.48550/arxiv.1710.09298 · pith_short_12: 4AM7EG7SPGUA · pith_short_16: 4AM7EG7SPGUAACGN · pith_short_8: 4AM7EG7S

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/4AM7EG7SPGUAACGNNFJ2I5EAK7 \
  | 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: e019f21bf279a80008cd6953a4748057dded7384a1a414035b3e502e9ef3bc37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f54c8a626a8c07a18a9a656b110a65947804bf949ef52093cd0d9ee0d2a062c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-10-25T15:16:36Z",
    "title_canon_sha256": "b82246dfcfc06e10005fcdaf082240cbdc2fc9e3ba63088bc3fd266fc5805260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09298",
    "kind": "arxiv",
    "version": 2
  }
}