Pith Number

pith:XYA6P4H3

pith:2017:XYA6P4H32MIJBORZXAMRFCO3F7

not attested not anchored not stored refs pending

Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems

Qi-Rui Li, Weimin Sheng, Xu-Jia Wang

arxiv:1712.07774 v1 · 2017-12-21 · math.AP · 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{XYA6P4H32MIJBORZXAMRFCO3F7}

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	2026-05-18T00:27:30.931075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be01e7f0fbd31090ba39b8191289db2fc6e7684c322cc0dddfc77917e6e7fc91

Aliases

arxiv: 1712.07774 · arxiv_version: 1712.07774v1 · doi: 10.48550/arxiv.1712.07774 · pith_short_12: XYA6P4H32MIJ · pith_short_16: XYA6P4H32MIJBORZ · pith_short_8: XYA6P4H3

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/XYA6P4H32MIJBORZXAMRFCO3F7 \
  | 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: be01e7f0fbd31090ba39b8191289db2fc6e7684c322cc0dddfc77917e6e7fc91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b797c09dca8b945444cd0b71ef81650bffae76ce021da38a4bcff0bb99b7d06",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-21T02:37:29Z",
    "title_canon_sha256": "244bb72a3cc713352958d0631ca133958672ae778b0a5f44554bd1bdf41cb292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07774",
    "kind": "arxiv",
    "version": 1
  }
}