Pith Number

pith:JEM62FAM

pith:2011:JEM62FAMCY5TSYPJEXK733JZFJ

not attested not anchored not stored refs pending

Theta functions and arithmetic quotients of loop groups

Dongwen Liu

arxiv:1104.0296 v1 · 2011-04-02 · 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{JEM62FAMCY5TSYPJEXK733JZFJ}

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	2026-05-18T02:16:21.806539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4919ed140c163b3961e925d5fded392a4ecd7fdaa5811063b8bb1c4fb5bada85

Aliases

arxiv: 1104.0296 · arxiv_version: 1104.0296v1 · doi: 10.48550/arxiv.1104.0296 · pith_short_12: JEM62FAMCY5T · pith_short_16: JEM62FAMCY5TSYPJ · pith_short_8: JEM62FAM

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/JEM62FAMCY5TSYPJEXK733JZFJ \
  | 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: 4919ed140c163b3961e925d5fded392a4ecd7fdaa5811063b8bb1c4fb5bada85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b79df4547c05f4918b32fc11151a2f974761c1a11483e671d19ff8af94b4529b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-04-02T06:54:52Z",
    "title_canon_sha256": "e2be3450d1bbb0399c5838958ca6fe932e7d23def665e4a817ebe2b713769d6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0296",
    "kind": "arxiv",
    "version": 1
  }
}