Pith Number

pith:HTJOPH44

pith:2013:HTJOPH44PUWHJIDU4U2CUZORZZ

not attested not anchored not stored refs pending

When are IG-projective modules projective?

D.M. Jian, R. Luo

arxiv:1308.3834 v1 · 2013-08-18 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTJOPH44PUWHJIDU4U2CUZORZZ}

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	2026-05-18T03:15:42.399015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cd2e79f9c7d2c74a074e5342a65d1ce67c5c89b2ed373cfcd6af36ffe88d316

Aliases

arxiv: 1308.3834 · arxiv_version: 1308.3834v1 · doi: 10.48550/arxiv.1308.3834 · pith_short_12: HTJOPH44PUWH · pith_short_16: HTJOPH44PUWHJIDU · pith_short_8: HTJOPH44

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/HTJOPH44PUWHJIDU4U2CUZORZZ \
  | 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: 3cd2e79f9c7d2c74a074e5342a65d1ce67c5c89b2ed373cfcd6af36ffe88d316

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99dfc73802b6b71fd7f5065409d25cd955d65a4e47bcfb047a66cce0235b63cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-08-18T06:41:49Z",
    "title_canon_sha256": "3fa0d812d4d7e6aff50b3410ffc2ad63d0e52b29b2c522a0825070a919bb11e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3834",
    "kind": "arxiv",
    "version": 1
  }
}