Pith Number

pith:FM5HDRV4

pith:2015:FM5HDRV4Y7XMFC5MDCASKOTS54

not attested not anchored not stored refs pending

Duflo involutions for 2-categories associated to tree quivers

Xiaoting Zhang

arxiv:1501.03052 v1 · 2015-01-13 · math.RT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FM5HDRV4Y7XMFC5MDCASKOTS54}

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	2026-05-18T02:29:30.621223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b3a71c6bcc7eec28bac1881253a72ef103d848eb60f314ab51642971c387b10

Aliases

arxiv: 1501.03052 · arxiv_version: 1501.03052v1 · doi: 10.48550/arxiv.1501.03052 · pith_short_12: FM5HDRV4Y7XM · pith_short_16: FM5HDRV4Y7XMFC5M · pith_short_8: FM5HDRV4

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/FM5HDRV4Y7XMFC5MDCASKOTS54 \
  | 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: 2b3a71c6bcc7eec28bac1881253a72ef103d848eb60f314ab51642971c387b10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6419ea58d061f67457cbb8891df6cb5f80ae5ef425c4d049becb37aa6c8a20c8",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-01-13T15:48:31Z",
    "title_canon_sha256": "7f2e621aab9f06a2dca5e862d51bb3eef37ae26b58e081ab92700fdc0c066d7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03052",
    "kind": "arxiv",
    "version": 1
  }
}