Pith Number

pith:75YFPU2D

pith:2015:75YFPU2DFFEQL47QNYXMSRHAF7

not attested not anchored not stored refs pending

Double affine Hecke algebras and congruence groups

Bogdan Ion, Siddhartha Sahi

arxiv:1506.06417 v4 · 2015-06-21 · math.QA · math.GT · 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{75YFPU2DFFEQL47QNYXMSRHAF7}

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	2026-05-18T00:32:16.420775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff7057d343294905f3f06e2ec944e02fcbde012a095d19bdffadc97410f125db

Aliases

arxiv: 1506.06417 · arxiv_version: 1506.06417v4 · doi: 10.48550/arxiv.1506.06417 · pith_short_12: 75YFPU2DFFEQ · pith_short_16: 75YFPU2DFFEQL47Q · pith_short_8: 75YFPU2D

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/75YFPU2DFFEQL47QNYXMSRHAF7 \
  | 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: ff7057d343294905f3f06e2ec944e02fcbde012a095d19bdffadc97410f125db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e213746acf633a2590e8f9ca6bb2b0c00ffa0293f4137fd16ac7f41e5a0ede58",
    "cross_cats_sorted": [
      "math.GT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-06-21T21:45:33Z",
    "title_canon_sha256": "19b84f3a2c7d62e1585b2d339f125179ec3e5d7e0b20e8443d9b9b451a491261"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06417",
    "kind": "arxiv",
    "version": 4
  }
}