Pith Number

pith:5CAV3S6E

pith:2010:5CAV3S6ENKUFI5SFONMTBCXBTN

not attested not anchored not stored refs pending

Degree growth of monomial maps and McMullen's polytope algebra

Charles Favre, Elizabeth Wulcan

arxiv:1011.2854 v2 · 2010-11-12 · math.DS · 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{5CAV3S6ENKUFI5SFONMTBCXBTN}

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	2026-05-18T04:25:25.661596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8815dcbc46aa85476457359308ae19b4396f7f2d2eadcb347a6e047a681a8e2

Aliases

arxiv: 1011.2854 · arxiv_version: 1011.2854v2 · doi: 10.48550/arxiv.1011.2854 · pith_short_12: 5CAV3S6ENKUF · pith_short_16: 5CAV3S6ENKUFI5SF · pith_short_8: 5CAV3S6E

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/5CAV3S6ENKUFI5SFONMTBCXBTN \
  | 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: e8815dcbc46aa85476457359308ae19b4396f7f2d2eadcb347a6e047a681a8e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e9c34b282fdcec99843bbcb5abfd95c1cad4e8af3c27ce27a8c76bc3ca8821a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-12T09:25:01Z",
    "title_canon_sha256": "1380a5d2af8fa376a14a60d336e79ad787dd829f06ade07389fa2dad75608c6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2854",
    "kind": "arxiv",
    "version": 2
  }
}