Pith Number

pith:6HMGC6PQ

pith:2012:6HMGC6PQCZAATPG5YJISLUXMFG

not attested not anchored not stored refs pending

A discrete analogue of periodic delta Bose gas and affine Hecke algebra

Yoshihiro Takeyama

arxiv:1209.2758 v2 · 2012-09-13 · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6HMGC6PQCZAATPG5YJISLUXMFG}

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	2026-05-18T02:56:35.469927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1d86179f0164009bcddc25125d2ec2985ef6ab8e5b3a6f1e21932d3e68f6ee7

Aliases

arxiv: 1209.2758 · arxiv_version: 1209.2758v2 · doi: 10.48550/arxiv.1209.2758 · pith_short_12: 6HMGC6PQCZAA · pith_short_16: 6HMGC6PQCZAATPG5 · pith_short_8: 6HMGC6PQ

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/6HMGC6PQCZAATPG5YJISLUXMFG \
  | 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: f1d86179f0164009bcddc25125d2ec2985ef6ab8e5b3a6f1e21932d3e68f6ee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a50d8a18341da45aa9fa3ad9074acae119275a4bf1bd3aa0ba6ee955415b80e7",
    "cross_cats_sorted": [
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-13T01:14:32Z",
    "title_canon_sha256": "617f3fbaa6f0611a6edd00736524bce09ea7a06e2be5348cf43b4c099e2aa3d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2758",
    "kind": "arxiv",
    "version": 2
  }
}