Pith Number

pith:FHZZQFHR

pith:2015:FHZZQFHRDMRMBUCON7IV6GX7UM

not attested not anchored not stored refs pending

Global gradient estimate on graph and its applications

Shuang Liu, Yong Lin, Yunyan Yang

arxiv:1510.07117 v1 · 2015-10-24 · 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{FHZZQFHRDMRMBUCON7IV6GX7UM}

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	2026-05-18T01:29:20.042769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29f39814f11b22c0d04e6fd15f1affa32b61e785e3e9bd664907d0ad53d0af80

Aliases

arxiv: 1510.07117 · arxiv_version: 1510.07117v1 · doi: 10.48550/arxiv.1510.07117 · pith_short_12: FHZZQFHRDMRM · pith_short_16: FHZZQFHRDMRMBUCO · pith_short_8: FHZZQFHR

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/FHZZQFHRDMRMBUCON7IV6GX7UM \
  | 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: 29f39814f11b22c0d04e6fd15f1affa32b61e785e3e9bd664907d0ad53d0af80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9920acd39ccf20c009e6f0d4c4a3024933be739555a2e2bfeab9d76b69c1de0f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-24T07:47:21Z",
    "title_canon_sha256": "44032952681eda5b25d803947346b8e337c675c9e2319eb73a1b07f7b42af172"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07117",
    "kind": "arxiv",
    "version": 1
  }
}