Pith Number

pith:XECCPCFG

pith:2003:XECCPCFGIXC6NEASWXBXRAA7R7

not attested not anchored not stored refs pending

Filtrations and completions of certain positive level modules of affine algebras

Jacob Greenstein, Vyjayanthi Chari

arxiv:math/0309016 v1 · 2003-09-01 · math.QA · 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{XECCPCFGIXC6NEASWXBXRAA7R7}

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	2026-05-18T03:46:17.234542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9042788a645c5e69012b5c378801f8fc7a2634ac923ae0c1274f2c18afc30c5

Aliases

arxiv: math/0309016 · arxiv_version: math/0309016v1 · doi: 10.48550/arxiv.math/0309016 · pith_short_12: XECCPCFGIXC6 · pith_short_16: XECCPCFGIXC6NEAS · pith_short_8: XECCPCFG

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/XECCPCFGIXC6NEASWXBXRAA7R7 \
  | 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: b9042788a645c5e69012b5c378801f8fc7a2634ac923ae0c1274f2c18afc30c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14db4301b74e28d101e39a16b69e3acd3966c5b8dc2bec671980d0706b460af0",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-09-01T07:50:56Z",
    "title_canon_sha256": "970ddbe64f5854869d15b169feb2cf82a0e1111bd3b83a1502549c74a1a572d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309016",
    "kind": "arxiv",
    "version": 1
  }
}