Pith Number

pith:MJUZW2VA

pith:2015:MJUZW2VAHXE6SQWHP6JWPYKGJR

not attested not anchored not stored refs pending

Combinatorial positivity of translation-invariant valuations and a discrete Hadwiger theorem

Katharina Jochemko, Raman Sanyal

arxiv:1505.07440 v4 · 2015-05-27 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJUZW2VAHXE6SQWHP6JWPYKGJR}

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	2026-05-18T00:10:41.792176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62699b6aa03dc9e942c77f9367e1464c7a05f00eae400a2a10a6a0329fd3f6c2

Aliases

arxiv: 1505.07440 · arxiv_version: 1505.07440v4 · doi: 10.48550/arxiv.1505.07440 · pith_short_12: MJUZW2VAHXE6 · pith_short_16: MJUZW2VAHXE6SQWH · pith_short_8: MJUZW2VA

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/MJUZW2VAHXE6SQWHP6JWPYKGJR \
  | 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: 62699b6aa03dc9e942c77f9367e1464c7a05f00eae400a2a10a6a0329fd3f6c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff0cb76ae33d634e57649c0fca6497e5c24f6a2131687454b794211c71fabf0e",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-27T19:27:48Z",
    "title_canon_sha256": "6ce5a76e09ec7e2e6d7f41cc996c4b0e0c3d5cc902b8a68a47e4daca1b5f9e4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07440",
    "kind": "arxiv",
    "version": 4
  }
}