Pith Number

pith:HWUR5W3S

pith:2009:HWUR5W3S4E4GHEMYIJISM3PM3J

not attested not anchored not stored refs pending

Quantum Teichm\"uller space and Kashaev algebra

Ren Guo, Xiaobo Liu

arxiv:0905.0895 v1 · 2009-05-06 · math.GT · 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{HWUR5W3S4E4GHEMYIJISM3PM3J}

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	2026-05-18T02:41:51.283123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3da91edb72e1386391984251266decda59435a3f67d2456440fc9fb0f9ee0b4a

Aliases

arxiv: 0905.0895 · arxiv_version: 0905.0895v1 · doi: 10.48550/arxiv.0905.0895 · pith_short_12: HWUR5W3S4E4G · pith_short_16: HWUR5W3S4E4GHEMY · pith_short_8: HWUR5W3S

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/HWUR5W3S4E4GHEMYIJISM3PM3J \
  | 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: 3da91edb72e1386391984251266decda59435a3f67d2456440fc9fb0f9ee0b4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17915b450a81b6035b430dfd9feeb30ba14bf7b5f106bb48f745dd89c99dfe79",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-05-06T19:55:04Z",
    "title_canon_sha256": "b087dc3593c78c45b036b9b9814ab32e87fc022335fb9972735a52d9c29772a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0895",
    "kind": "arxiv",
    "version": 1
  }
}