Pith Number

pith:PVNCLCWK

pith:2016:PVNCLCWKOV76VHRKWB5FRHIM5G

not attested not anchored not stored refs pending

A long exact sequence for homology of FI-modules

Wee Liang Gan

arxiv:1602.08873 v3 · 2016-02-29 · 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{PVNCLCWKOV76VHRKWB5FRHIM5G}

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	2026-05-18T01:17:17.126694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d5a258aca757fea9e2ab07a589d0ce9b716d968d802bd16c9e5aa729dfff7b9

Aliases

arxiv: 1602.08873 · arxiv_version: 1602.08873v3 · doi: 10.48550/arxiv.1602.08873 · pith_short_12: PVNCLCWKOV76 · pith_short_16: PVNCLCWKOV76VHRK · pith_short_8: PVNCLCWK

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/PVNCLCWKOV76VHRKWB5FRHIM5G \
  | 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: 7d5a258aca757fea9e2ab07a589d0ce9b716d968d802bd16c9e5aa729dfff7b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0960748262e65e62750b6f2d3e525abc9dd3ad60e21625a64f08836ea630f437",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-02-29T09:19:21Z",
    "title_canon_sha256": "66f7d5339a8acd81845fce54938459584acdaf904306537660ed205c57c69ef6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08873",
    "kind": "arxiv",
    "version": 3
  }
}