Pith Number

pith:YXUM2LWU

pith:2026:YXUM2LWUELVRUK7D2RL23UK73D

not attested not anchored not stored refs pending

Unexpected phenomena for mean curvature functionals in the Heisenberg group

Andrea Pinamonti, Mattia Fogagnolo, Simone Verzellesi

arxiv:2605.29912 v1 · 2026-05-28 · 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{YXUM2LWUELVRUK7D2RL23UK73D}

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	2026-05-29T02:06:00.367117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5e8cd2ed422eb1a2be3d457add15fd8e63e4f88611198f426f86f87ffc0287e

Aliases

arxiv: 2605.29912 · arxiv_version: 2605.29912v1 · doi: 10.48550/arxiv.2605.29912 · pith_short_12: YXUM2LWUELVR · pith_short_16: YXUM2LWUELVRUK7D · pith_short_8: YXUM2LWU

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/YXUM2LWUELVRUK7D2RL23UK73D \
  | 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: c5e8cd2ed422eb1a2be3d457add15fd8e63e4f88611198f426f86f87ffc0287e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12c9ee6d4edf26a4e5fc2948c03add4d66ba0a1b32d18ee4fddb07c085ea522b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-28T13:29:24Z",
    "title_canon_sha256": "5389d0a5262e0630b5b2e4fe51eed1f844559bc260ed8a1686e39747e640a323"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29912",
    "kind": "arxiv",
    "version": 1
  }
}