Pith Number

pith:USVTRWBT

pith:2015:USVTRWBTLQEVZVOV6WDALZZJR4

not attested not anchored not stored refs pending

Homological degrees of representations of categories with shift functors

Liping Li

arxiv:1507.08023 v3 · 2015-07-29 · 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{USVTRWBTLQEVZVOV6WDALZZJR4}

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	2026-05-18T01:29:31.422410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4ab38d8335c095cd5d5f58605e7298f0a4e3112aa828d4df539d616e4446625

Aliases

arxiv: 1507.08023 · arxiv_version: 1507.08023v3 · doi: 10.48550/arxiv.1507.08023 · pith_short_12: USVTRWBTLQEV · pith_short_16: USVTRWBTLQEVZVOV · pith_short_8: USVTRWBT

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/USVTRWBTLQEVZVOV6WDALZZJR4 \
  | 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: a4ab38d8335c095cd5d5f58605e7298f0a4e3112aa828d4df539d616e4446625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "596d06f51a873c2fa1d26a91b593439bd8ea7bceeb98e552e98134be2be69737",
    "cross_cats_sorted": [
      "math.KT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-07-29T05:49:22Z",
    "title_canon_sha256": "ad4aeff30028fa188abf54fc0e751ae078e2cbdfbb9da1a4a5200719257ed1d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08023",
    "kind": "arxiv",
    "version": 3
  }
}