Pith Number

pith:6JOBEHNR

pith:2013:6JOBEHNRLXJOXARS2D5F4EIHIQ

not attested not anchored not stored refs pending

Trudinger-Moser embedding on the hyperbolic space

Xiaobao Zhu, Yunyan Yang

arxiv:1306.0822 v1 · 2013-06-04 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6JOBEHNRLXJOXARS2D5F4EIHIQ}

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	2026-05-18T03:21:46.224505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f25c121db15dd2eb8232d0fa5e11074414cbf096f5fc48fd61b268cae2a8e59d

Aliases

arxiv: 1306.0822 · arxiv_version: 1306.0822v1 · doi: 10.48550/arxiv.1306.0822 · pith_short_12: 6JOBEHNRLXJO · pith_short_16: 6JOBEHNRLXJOXARS · pith_short_8: 6JOBEHNR

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/6JOBEHNRLXJOXARS2D5F4EIHIQ \
  | 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: f25c121db15dd2eb8232d0fa5e11074414cbf096f5fc48fd61b268cae2a8e59d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "137247020b000fe480921d6f2500b36e6f3ba12657fb84a537a6e37d4339706b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-04T14:54:30Z",
    "title_canon_sha256": "0829a2b805d5e6a8f382ba16c65a0f9fc52ca760a35cafb564c71c2637c999be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0822",
    "kind": "arxiv",
    "version": 1
  }
}