Pith Number

pith:FB3ACJV6

pith:2015:FB3ACJV6D3MJUAM5IY75NGI5F3

not attested not anchored not stored refs pending

Modulated semi-invariants

Gordana Todorov, Jerzy Weyman, Kent Orr, Kiyoshi Igusa

arxiv:1507.03051 v2 · 2015-07-11 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FB3ACJV6D3MJUAM5IY75NGI5F3}

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	2026-05-18T01:34:15.596882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28760126be1ed89a019d463fd6991d2eed0339e86026a7307bd8824963b63e5b

Aliases

arxiv: 1507.03051 · arxiv_version: 1507.03051v2 · doi: 10.48550/arxiv.1507.03051 · pith_short_12: FB3ACJV6D3MJ · pith_short_16: FB3ACJV6D3MJUAM5 · pith_short_8: FB3ACJV6

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/FB3ACJV6D3MJUAM5IY75NGI5F3 \
  | 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: 28760126be1ed89a019d463fd6991d2eed0339e86026a7307bd8824963b63e5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aed91231cad9809fb6837d0127c3d7273fd39062c291405385da1ee05c7eda8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-07-11T01:28:26Z",
    "title_canon_sha256": "69fe0665c68b0142363f39fbfbf7e982a95140024222acc81a5b7c86768d5795"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03051",
    "kind": "arxiv",
    "version": 2
  }
}