Pith Number

pith:R2JYY3VS

pith:2010:R2JYY3VSADHXA5IJDGID5HN3SA

not attested not anchored not stored refs pending

Calculus of generalized hyperbolic tetrahedron

Ren Guo

arxiv:1007.0453 v1 · 2010-07-02 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R2JYY3VSADHXA5IJDGID5HN3SA}

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	2026-05-18T04:16:53.633449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e938c6eb200cf70750919903e9dbb900f69c6e3c003a46a9b05e67e31fbf5d5

Aliases

arxiv: 1007.0453 · arxiv_version: 1007.0453v1 · doi: 10.48550/arxiv.1007.0453 · pith_short_12: R2JYY3VSADHX · pith_short_16: R2JYY3VSADHXA5IJ · pith_short_8: R2JYY3VS

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/R2JYY3VSADHXA5IJDGID5HN3SA \
  | 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: 8e938c6eb200cf70750919903e9dbb900f69c6e3c003a46a9b05e67e31fbf5d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70af6b4b5fe57469cc131228bbbbcc68982a0e477d3f57a5b97e3e859c62ab99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-07-02T22:11:13Z",
    "title_canon_sha256": "39a202fd2b436c30386644d306b6d6ad3a6037e00dc8a4ff3e67a54bd1676505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0453",
    "kind": "arxiv",
    "version": 1
  }
}