Pith Number

pith:CO2K6NTV

pith:2016:CO2K6NTVHALW7MDKJQ44YNNQQN

not attested not anchored not stored refs pending

The Fenchel-type inequality in the 3-dimensional Lorentz space and a Crofton formula

Donghao Wang, Nan Ye, Xiang Ma

arxiv:1603.01311 v1 · 2016-03-03 · 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{CO2K6NTVHALW7MDKJQ44YNNQQN}

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	2026-05-18T01:19:38.000438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13b4af367538176fb06a4c39cc35b0836206a9a6d15bd9b81b4c52dcd74ea50b

Aliases

arxiv: 1603.01311 · arxiv_version: 1603.01311v1 · doi: 10.48550/arxiv.1603.01311 · pith_short_12: CO2K6NTVHALW · pith_short_16: CO2K6NTVHALW7MDK · pith_short_8: CO2K6NTV

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/CO2K6NTVHALW7MDKJQ44YNNQQN \
  | 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: 13b4af367538176fb06a4c39cc35b0836206a9a6d15bd9b81b4c52dcd74ea50b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "639183c89240cbed05d9d6c268ce39a465eafa46df56038c05412a3e2cacb7ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-03-03T22:59:07Z",
    "title_canon_sha256": "188234aba148b87b5fabd8867bdf35aae296acd6514eb486665b7dd285ea3f2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01311",
    "kind": "arxiv",
    "version": 1
  }
}