Pith Number

pith:X66EKLPZ

pith:2013:X66EKLPZAGB2OF36GUHKRELDF3

not attested not anchored not stored refs pending

$C^{m_0}$-Smoothness of Evaluation Maps

Gang Liu

arxiv:1312.2161 v1 · 2013-12-08 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X66EKLPZAGB2OF36GUHKRELDF3}

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	2026-05-18T03:05:17.096588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfbc452df90183a7177e350ea891632ee5f71e4124f8928d7da5da17dd58530f

Aliases

arxiv: 1312.2161 · arxiv_version: 1312.2161v1 · doi: 10.48550/arxiv.1312.2161 · pith_short_12: X66EKLPZAGB2 · pith_short_16: X66EKLPZAGB2OF36 · pith_short_8: X66EKLPZ

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/X66EKLPZAGB2OF36GUHKRELDF3 \
  | 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: bfbc452df90183a7177e350ea891632ee5f71e4124f8928d7da5da17dd58530f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "661951d9305eec0260091cb178a443e5cb501065c8ddc9a1fd069431cd5a4182",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-12-08T01:11:46Z",
    "title_canon_sha256": "3c5b5d8d0f3b403ab907a983afcb9202694d145b851d293b42ff5893a1b0f388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2161",
    "kind": "arxiv",
    "version": 1
  }
}