Pith Number

pith:76QJLLIB

pith:2016:76QJLLIBMBPBZ5GER62XJ3GE7N

not attested not anchored not stored refs pending

Mixed volume preserving flow by powers of homogeneous curvature functions of degree one

Shunzi Guo

arxiv:1610.08214 v1 · 2016-10-26 · 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{76QJLLIBMBPBZ5GER62XJ3GE7N}

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	2026-05-18T01:01:14.730740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffa095ad01605e1cf4c48fb574ecc4fb6fa1ed10e9199d2e63db20f254e7b648

Aliases

arxiv: 1610.08214 · arxiv_version: 1610.08214v1 · doi: 10.48550/arxiv.1610.08214 · pith_short_12: 76QJLLIBMBPB · pith_short_16: 76QJLLIBMBPBZ5GE · pith_short_8: 76QJLLIB

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/76QJLLIBMBPBZ5GER62XJ3GE7N \
  | 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: ffa095ad01605e1cf4c48fb574ecc4fb6fa1ed10e9199d2e63db20f254e7b648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36edb2377ac99f832c8d2452529966ca8f456bdae2e32e3f056d961668b1ad09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-10-26T07:25:35Z",
    "title_canon_sha256": "a40305256731d788d178e3a3e7d5d05b150a3460b418ed78c3e1b987abe9d603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08214",
    "kind": "arxiv",
    "version": 1
  }
}