Pith Number

pith:MHPOYTDM

pith:2013:MHPOYTDMMUPLMNLVJAFLKSTUFP

not attested not anchored not stored refs pending

The $t$-analogs of string functions for $A_1^{(1)}$ and Hecke indefinite modular forms

Sachin S. Sharma, Sankaran Viswanath

arxiv:1302.6200 v3 · 2013-02-25 · math.RT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHPOYTDMMUPLMNLVJAFLKSTUFP}

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	2026-05-18T01:36:26.082121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61deec4c6c651eb63575480ab54a742be20e86f67b74f795f6197ae0d2750b44

Aliases

arxiv: 1302.6200 · arxiv_version: 1302.6200v3 · doi: 10.48550/arxiv.1302.6200 · pith_short_12: MHPOYTDMMUPL · pith_short_16: MHPOYTDMMUPLMNLV · pith_short_8: MHPOYTDM

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/MHPOYTDMMUPLMNLVJAFLKSTUFP \
  | 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: 61deec4c6c651eb63575480ab54a742be20e86f67b74f795f6197ae0d2750b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c33b96916a69da6e8910c00360f91a2553fa6f3f5957dd37c1b8a5fdfaeb3149",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-02-25T19:32:14Z",
    "title_canon_sha256": "90f5aab749a7b6df8bf6620ffd29c204cd303715f85bd21148f3c1fcaa7af424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6200",
    "kind": "arxiv",
    "version": 3
  }
}