Pith Number

pith:IF3CNHEV

pith:2006:IF3CNHEVQ5HLFKW52MUOMY5PFW

not attested not anchored not stored refs pending

Multiplication of polynomials on Hermitian symmetric spaces and Littlewood-Richardson coefficients

Markus Hunziker, William Graham

arxiv:math/0605691 v1 · 2006-05-26 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IF3CNHEVQ5HLFKW52MUOMY5PFW}

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	2026-07-04T14:55:06.342789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4176269c95874eb2aaddd328e663af2d993d378e44e0e54d01f17d6a1d8f5eb5

Aliases

arxiv: math/0605691 · arxiv_version: math/0605691v1 · doi: 10.48550/arxiv.math/0605691 · pith_short_12: IF3CNHEVQ5HL · pith_short_16: IF3CNHEVQ5HLFKW5 · pith_short_8: IF3CNHEV

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/IF3CNHEVQ5HLFKW52MUOMY5PFW \
  | 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: 4176269c95874eb2aaddd328e663af2d993d378e44e0e54d01f17d6a1d8f5eb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "939ffbb540355230e3d3941ebb8eb5a15cf6fdcadf58d2ffef8536dcee430ef0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2006-05-26T17:40:53Z",
    "title_canon_sha256": "04a6d7f54f8e3a30a8adff9b87793fac84778b349e89156e99880adbd20c04d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605691",
    "kind": "arxiv",
    "version": 1
  }
}