Pith Number

pith:C547GGSQ

pith:2017:C547GGSQNKYYWOPDDWMU5J24DI

not attested not anchored not stored refs pending

Virtual Crystals and Nakajima Monomials

Ben Salisbury, Travis Scrimshaw

arxiv:1707.09638 v3 · 2017-07-30 · math.CO · 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{C547GGSQNKYYWOPDDWMU5J24DI}

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	2026-05-18T00:04:45.348207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1779f31a506ab18b39e31d994ea75c1a1ec0b2d1ff55929cdfc5541cf8e9df66

Aliases

arxiv: 1707.09638 · arxiv_version: 1707.09638v3 · doi: 10.48550/arxiv.1707.09638 · pith_short_12: C547GGSQNKYY · pith_short_16: C547GGSQNKYYWOPD · pith_short_8: C547GGSQ

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/C547GGSQNKYYWOPDDWMU5J24DI \
  | 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: 1779f31a506ab18b39e31d994ea75c1a1ec0b2d1ff55929cdfc5541cf8e9df66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98f2320e1004face7e0eeb7ae2e56f0cc6dc87d94e556f823551a180fb4a4144",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-30T16:16:27Z",
    "title_canon_sha256": "a89bdef6403e24f057eb035b21e662894763c3802393a98bfb5bce3b2b3014a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09638",
    "kind": "arxiv",
    "version": 3
  }
}