Pith Number

pith:XRL2XXNV

pith:2017:XRL2XXNVEEU27RLD43HFVUOA4T

not attested not anchored not stored refs pending

Asymptotic behaviors of representations of graded categories with inductive functors

Liping Li, Wee Liang Gan

arxiv:1705.00882 v4 · 2017-05-02 · math.RT · math.AC · 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{XRL2XXNVEEU27RLD43HFVUOA4T}

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	2026-05-17T23:50:49.428041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc57abddb52129afc563e6ce5ad1c0e4fae54d4c78c077e676182a66144a48ec

Aliases

arxiv: 1705.00882 · arxiv_version: 1705.00882v4 · doi: 10.48550/arxiv.1705.00882 · pith_short_12: XRL2XXNVEEU2 · pith_short_16: XRL2XXNVEEU27RLD · pith_short_8: XRL2XXNV

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/XRL2XXNVEEU27RLD43HFVUOA4T \
  | 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: bc57abddb52129afc563e6ce5ad1c0e4fae54d4c78c077e676182a66144a48ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4ee82b8d7264ae72ac287adc185773ee1136120d050376e56435864592f46c3",
    "cross_cats_sorted": [
      "math.AC",
      "math.KT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-05-02T09:53:02Z",
    "title_canon_sha256": "1ba19cc0ca4aca729ca13516a8b5ae2aa6cdfd928aba8b21545c38b4dc5a1f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00882",
    "kind": "arxiv",
    "version": 4
  }
}