Pith Number

pith:7EWFTWIZ

pith:2015:7EWFTWIZATVGNKRBPPZTYDKYYT

not attested not anchored not stored refs pending

Upper bounds of homological invariants of $FI_G$-modules

Liping Li

arxiv:1512.05879 v3 · 2015-12-18 · math.RT · math.KT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7EWFTWIZATVGNKRBPPZTYDKYYT}

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	2026-05-18T01:15:51.697792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f92c59d91904ea66aa217bf33c0d58c4c2a6514c09f493a6008283072f6cc15c

Aliases

arxiv: 1512.05879 · arxiv_version: 1512.05879v3 · doi: 10.48550/arxiv.1512.05879 · pith_short_12: 7EWFTWIZATVG · pith_short_16: 7EWFTWIZATVGNKRB · pith_short_8: 7EWFTWIZ

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/7EWFTWIZATVGNKRBPPZTYDKYYT \
  | 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: f92c59d91904ea66aa217bf33c0d58c4c2a6514c09f493a6008283072f6cc15c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e7142561ad8c5fbb9dfb5f6fe6089bc65ba8dda2d9a004c0759df8936bdc95b",
    "cross_cats_sorted": [
      "math.KT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-12-18T09:22:58Z",
    "title_canon_sha256": "dd4ff91fd82da015926cf4ed3ad34c6740aa320fc3de6a76b7b0586a3f98c7ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05879",
    "kind": "arxiv",
    "version": 3
  }
}