Pith Number

pith:N4OKXWVL

pith:2013:N4OKXWVLWHTS7J4JHABJX2OPDM

not attested not anchored not stored refs pending

A note on local gradient estimate on Alexandrov spaces

Bobo Hua, Chao Xia

arxiv:1301.4810 v2 · 2013-01-21 · 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{N4OKXWVLWHTS7J4JHABJX2OPDM}

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	2026-05-18T03:20:48.255710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f1cabdaabb1e72fa78938029be9cf1b284cf9e775f68cc38458b88378836680

Aliases

arxiv: 1301.4810 · arxiv_version: 1301.4810v2 · doi: 10.48550/arxiv.1301.4810 · pith_short_12: N4OKXWVLWHTS · pith_short_16: N4OKXWVLWHTS7J4J · pith_short_8: N4OKXWVL

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/N4OKXWVLWHTS7J4JHABJX2OPDM \
  | 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: 6f1cabdaabb1e72fa78938029be9cf1b284cf9e775f68cc38458b88378836680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32177cd58b2023fe3728071ccbb0880b556b97cf1221eae19134d8cb1a2c8b73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-01-21T10:52:28Z",
    "title_canon_sha256": "3af5d81477015fa840817194b4c7b7e364a3b48a717e8ff81da17417e6058c89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4810",
    "kind": "arxiv",
    "version": 2
  }
}