Pith Number

pith:DFG7VUGZ

pith:2017:DFG7VUGZED73VRH65SR5MIDVLS

not attested not anchored not stored refs pending

Character Levels and Character Bounds

Michael Larsen, Pham Huu Tiep, Robert M. Guralnick

arxiv:1708.03844 v1 · 2017-08-13 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFG7VUGZED73VRH65SR5MIDVLS}

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.

Cited by

1 paper in Pith

Classical interpolation categories

Receipt and verification

First computed	2026-07-05T00:42:12.771890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

194dfad0d920ffbac4feeca3d620755cb68e9e2506f4560c65f77f934359a22f

Aliases

arxiv: 1708.03844 · arxiv_version: 1708.03844v1 · doi: 10.48550/arxiv.1708.03844 · pith_short_12: DFG7VUGZED73 · pith_short_16: DFG7VUGZED73VRH6 · pith_short_8: DFG7VUGZ

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/DFG7VUGZED73VRH65SR5MIDVLS \
  | 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: 194dfad0d920ffbac4feeca3d620755cb68e9e2506f4560c65f77f934359a22f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "519f6423aa8c366874df2c9f9b087c465f8df6ff77f6964fcc78742ff6a94862",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-08-13T03:18:43Z",
    "title_canon_sha256": "5fafa6660ff2e9a0b2f40828f15c3f980cb60aa1d4fd6846fe76908b35ee9f19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03844",
    "kind": "arxiv",
    "version": 1
  }
}