Pith Number

pith:VEGZJSUX

pith:2018:VEGZJSUXM5ZSXVSSHXEZTK7PYT

not attested not anchored not stored refs pending

Torsion Freeness of Schur Modules

Alexandre Tchernev, Muberra Allahverdi

arxiv:1808.00602 v1 · 2018-08-02 · 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{VEGZJSUXM5ZSXVSSHXEZTK7PYT}

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	2026-05-18T00:09:04.766005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a90d94ca9767732bd6523dc999abefc4c1ddeaa6f2fdc7f85c0e1335410db61a

Aliases

arxiv: 1808.00602 · arxiv_version: 1808.00602v1 · doi: 10.48550/arxiv.1808.00602 · pith_short_12: VEGZJSUXM5ZS · pith_short_16: VEGZJSUXM5ZSXVSS · pith_short_8: VEGZJSUX

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/VEGZJSUXM5ZSXVSSHXEZTK7PYT \
  | 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: a90d94ca9767732bd6523dc999abefc4c1ddeaa6f2fdc7f85c0e1335410db61a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87012190ced1008315617e7b49d97aa6792c89e3be2901641f2aa7500146219d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-08-02T00:01:50Z",
    "title_canon_sha256": "5f7db60dddf43b2c99768dd7ab964afb5245bd0d257f01c2adbb0b2630b4c058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00602",
    "kind": "arxiv",
    "version": 1
  }
}