Pith Number

pith:HAJHELXI

pith:2025:HAJHELXICG3YGU4EG6XEZSJ5R7

not attested not anchored not stored refs pending

A general construction of simultaneously hyperbolic elements

Jiaqi Cui, Renxing Wan

arxiv:2505.09454 v2 · 2025-05-14 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HAJHELXICG3YGU4EG6XEZSJ5R7}

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	2026-07-05T11:30:00.167784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3812722ee811b783538437ae4cc93d8fe304ee16e4653eee20cd68c1f248d5ee

Aliases

arxiv: 2505.09454 · arxiv_version: 2505.09454v2 · doi: 10.48550/arxiv.2505.09454 · pith_short_12: HAJHELXICG3Y · pith_short_16: HAJHELXICG3YGU4E · pith_short_8: HAJHELXI

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/HAJHELXICG3YGU4EG6XEZSJ5R7 \
  | 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: 3812722ee811b783538437ae4cc93d8fe304ee16e4653eee20cd68c1f248d5ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c253b71162ae60a9d2da76e179fba6e21f83d22205da3080b1efb2e43c9de3c2",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-05-14T15:05:24Z",
    "title_canon_sha256": "1e7590fcdcf584eb808beeb7b8fd76f760b3bb99b9b46486694c72213f357ed3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09454",
    "kind": "arxiv",
    "version": 2
  }
}